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Finding the Fourth Proportional to 17,835.38, 24,613.03 and 9,877.74

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Solution

The fourth proportional to 17,835.38, 24,613.03 and 9,877.74 is: 13,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.38 : 24,613.03 = 9,877.74 : x
  2. Step 2: Convert to fraction form
    17,835.38/24,613.03 = 9,877.74/x
  3. Step 3: Cross multiply
    17,835.38x = 24,613.03 × 9,877.74
  4. Step 4: Simplify right side
    17,835.38x = 243,121,110.95
  5. Step 5: Solve for x
    x = 243,121,110.95/17,835.38
  6. Step 6: Final answer
    x = 13,631.40

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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.