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Finding the Fourth Proportional to 10,497.51, 14,445.36 and 10,432.71

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Solution

The fourth proportional to 10,497.51, 14,445.36 and 10,432.71 is: 14,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.51 : 14,445.36 = 10,432.71 : x
  2. Step 2: Convert to fraction form
    10,497.51/14,445.36 = 10,432.71/x
  3. Step 3: Cross multiply
    10,497.51x = 14,445.36 × 10,432.71
  4. Step 4: Simplify right side
    10,497.51x = 150,704,251.73
  5. Step 5: Solve for x
    x = 150,704,251.73/10,497.51
  6. Step 6: Final answer
    x = 14,356.19

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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.