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Finding the Fourth Proportional to 10,572.40, 14,560.32 and 10,342.81

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Solution

The fourth proportional to 10,572.40, 14,560.32 and 10,342.81 is: 14,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.40 : 14,560.32 = 10,342.81 : x
  2. Step 2: Convert to fraction form
    10,572.40/14,560.32 = 10,342.81/x
  3. Step 3: Cross multiply
    10,572.40x = 14,560.32 × 10,342.81
  4. Step 4: Simplify right side
    10,572.40x = 150,594,623.30
  5. Step 5: Solve for x
    x = 150,594,623.30/10,572.40
  6. Step 6: Final answer
    x = 14,244.13

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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.