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Finding the Fourth Proportional to 19,831.52, 29,737.71 and 11,513.63

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Solution

The fourth proportional to 19,831.52, 29,737.71 and 11,513.63 is: 17,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.52 : 29,737.71 = 11,513.63 : x
  2. Step 2: Convert to fraction form
    19,831.52/29,737.71 = 11,513.63/x
  3. Step 3: Cross multiply
    19,831.52x = 29,737.71 × 11,513.63
  4. Step 4: Simplify right side
    19,831.52x = 342,388,932.42
  5. Step 5: Solve for x
    x = 342,388,932.42/19,831.52
  6. Step 6: Final answer
    x = 17,264.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.