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Finding the Fourth Proportional to 14,507.71, 20,014.90 and 9,470.32

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Solution

The fourth proportional to 14,507.71, 20,014.90 and 9,470.32 is: 13,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.71 : 20,014.90 = 9,470.32 : x
  2. Step 2: Convert to fraction form
    14,507.71/20,014.90 = 9,470.32/x
  3. Step 3: Cross multiply
    14,507.71x = 20,014.90 × 9,470.32
  4. Step 4: Simplify right side
    14,507.71x = 189,547,434.05
  5. Step 5: Solve for x
    x = 189,547,434.05/14,507.71
  6. Step 6: Final answer
    x = 13,065.29

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