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Finding the Fourth Proportional to 24,860, 34,308.96 and 13,684.16

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Solution

The fourth proportional to 24,860, 34,308.96 and 13,684.16 is: 18,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,860 : 34,308.96 = 13,684.16 : x
  2. Step 2: Convert to fraction form
    24,860/34,308.96 = 13,684.16/x
  3. Step 3: Cross multiply
    24,860x = 34,308.96 × 13,684.16
  4. Step 4: Simplify right side
    24,860x = 469,489,298.07
  5. Step 5: Solve for x
    x = 469,489,298.07/24,860
  6. Step 6: Final answer
    x = 18,885.33

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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.