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Finding the Fourth Proportional to 24,394.83, 36,614.93 and 9,613.95

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Solution

The fourth proportional to 24,394.83, 36,614.93 and 9,613.95 is: 14,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.83 : 36,614.93 = 9,613.95 : x
  2. Step 2: Convert to fraction form
    24,394.83/36,614.93 = 9,613.95/x
  3. Step 3: Cross multiply
    24,394.83x = 36,614.93 × 9,613.95
  4. Step 4: Simplify right side
    24,394.83x = 352,014,058.20
  5. Step 5: Solve for x
    x = 352,014,058.20/24,394.83
  6. Step 6: Final answer
    x = 14,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.