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Finding the Fourth Proportional to 17,534.66, 24,197.15 and 9,877.78

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Solution

The fourth proportional to 17,534.66, 24,197.15 and 9,877.78 is: 13,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.66 : 24,197.15 = 9,877.78 : x
  2. Step 2: Convert to fraction form
    17,534.66/24,197.15 = 9,877.78/x
  3. Step 3: Cross multiply
    17,534.66x = 24,197.15 × 9,877.78
  4. Step 4: Simplify right side
    17,534.66x = 239,013,953.95
  5. Step 5: Solve for x
    x = 239,013,953.95/17,534.66
  6. Step 6: Final answer
    x = 13,630.95

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