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Finding the Fourth Proportional to 17,854.74, 24,639.84 and 9,897.30

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Solution

The fourth proportional to 17,854.74, 24,639.84 and 9,897.30 is: 13,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.74 : 24,639.84 = 9,897.30 : x
  2. Step 2: Convert to fraction form
    17,854.74/24,639.84 = 9,897.30/x
  3. Step 3: Cross multiply
    17,854.74x = 24,639.84 × 9,897.30
  4. Step 4: Simplify right side
    17,854.74x = 243,867,888.43
  5. Step 5: Solve for x
    x = 243,867,888.43/17,854.74
  6. Step 6: Final answer
    x = 13,658.44

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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.