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Finding the Fourth Proportional to 14,732.49, 20,336.76 and 10,019.64

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Solution

The fourth proportional to 14,732.49, 20,336.76 and 10,019.64 is: 13,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732.49 : 20,336.76 = 10,019.64 : x
  2. Step 2: Convert to fraction form
    14,732.49/20,336.76 = 10,019.64/x
  3. Step 3: Cross multiply
    14,732.49x = 20,336.76 × 10,019.64
  4. Step 4: Simplify right side
    14,732.49x = 203,767,013.97
  5. Step 5: Solve for x
    x = 203,767,013.97/14,732.49
  6. Step 6: Final answer
    x = 13,831.13

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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.