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Finding the Fourth Proportional to 19,901.92, 27,470.80 and 12,828.32

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Solution

The fourth proportional to 19,901.92, 27,470.80 and 12,828.32 is: 17,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.92 : 27,470.80 = 12,828.32 : x
  2. Step 2: Convert to fraction form
    19,901.92/27,470.80 = 12,828.32/x
  3. Step 3: Cross multiply
    19,901.92x = 27,470.80 × 12,828.32
  4. Step 4: Simplify right side
    19,901.92x = 352,404,213.06
  5. Step 5: Solve for x
    x = 352,404,213.06/19,901.92
  6. Step 6: Final answer
    x = 17,707.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.