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Finding the Fourth Proportional to 17,537, 24,202.50 and 9,985.82

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Solution

The fourth proportional to 17,537, 24,202.50 and 9,985.82 is: 13,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537 : 24,202.50 = 9,985.82 : x
  2. Step 2: Convert to fraction form
    17,537/24,202.50 = 9,985.82/x
  3. Step 3: Cross multiply
    17,537x = 24,202.50 × 9,985.82
  4. Step 4: Simplify right side
    17,537x = 241,681,808.55
  5. Step 5: Solve for x
    x = 241,681,808.55/17,537
  6. Step 6: Final answer
    x = 13,781.25

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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.