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Finding the Fourth Proportional to 13,737.38, 18,973.16 and 9,253.36

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Solution

The fourth proportional to 13,737.38, 18,973.16 and 9,253.36 is: 12,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.38 : 18,973.16 = 9,253.36 : x
  2. Step 2: Convert to fraction form
    13,737.38/18,973.16 = 9,253.36/x
  3. Step 3: Cross multiply
    13,737.38x = 18,973.16 × 9,253.36
  4. Step 4: Simplify right side
    13,737.38x = 175,565,479.82
  5. Step 5: Solve for x
    x = 175,565,479.82/13,737.38
  6. Step 6: Final answer
    x = 12,780.13

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Why These Related Problems?

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