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Finding the Fourth Proportional to 17,737.02, 24,478.80 and 13,252.98

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Solution

The fourth proportional to 17,737.02, 24,478.80 and 13,252.98 is: 18,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.02 : 24,478.80 = 13,252.98 : x
  2. Step 2: Convert to fraction form
    17,737.02/24,478.80 = 13,252.98/x
  3. Step 3: Cross multiply
    17,737.02x = 24,478.80 × 13,252.98
  4. Step 4: Simplify right side
    17,737.02x = 324,417,046.82
  5. Step 5: Solve for x
    x = 324,417,046.82/17,737.02
  6. Step 6: Final answer
    x = 18,290.39

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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.