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Finding the Fourth Proportional to 14,405.76, 19,879.83 and 8,032.29

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Solution

The fourth proportional to 14,405.76, 19,879.83 and 8,032.29 is: 11,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.76 : 19,879.83 = 8,032.29 : x
  2. Step 2: Convert to fraction form
    14,405.76/19,879.83 = 8,032.29/x
  3. Step 3: Cross multiply
    14,405.76x = 19,879.83 × 8,032.29
  4. Step 4: Simplify right side
    14,405.76x = 159,680,559.71
  5. Step 5: Solve for x
    x = 159,680,559.71/14,405.76
  6. Step 6: Final answer
    x = 11,084.49

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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.