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Finding the Fourth Proportional to 28,455.16, 42,687.80 and 9,737.28

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Solution

The fourth proportional to 28,455.16, 42,687.80 and 9,737.28 is: 14,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,455.16 : 42,687.80 = 9,737.28 : x
  2. Step 2: Convert to fraction form
    28,455.16/42,687.80 = 9,737.28/x
  3. Step 3: Cross multiply
    28,455.16x = 42,687.80 × 9,737.28
  4. Step 4: Simplify right side
    28,455.16x = 415,663,061.18
  5. Step 5: Solve for x
    x = 415,663,061.18/28,455.16
  6. Step 6: Final answer
    x = 14,607.65

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Why These Related Problems?

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