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Finding the Fourth Proportional to 23,788, 32,827.44 and 14,356.56

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Solution

The fourth proportional to 23,788, 32,827.44 and 14,356.56 is: 19,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788 : 32,827.44 = 14,356.56 : x
  2. Step 2: Convert to fraction form
    23,788/32,827.44 = 14,356.56/x
  3. Step 3: Cross multiply
    23,788x = 32,827.44 × 14,356.56
  4. Step 4: Simplify right side
    23,788x = 471,289,112.01
  5. Step 5: Solve for x
    x = 471,289,112.01/23,788
  6. Step 6: Final answer
    x = 19,812.05

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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.