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Finding the Fourth Proportional to 24,403.76, 36,625.08 and 9,616.40

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Solution

The fourth proportional to 24,403.76, 36,625.08 and 9,616.40 is: 14,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.76 : 36,625.08 = 9,616.40 : x
  2. Step 2: Convert to fraction form
    24,403.76/36,625.08 = 9,616.40/x
  3. Step 3: Cross multiply
    24,403.76x = 36,625.08 × 9,616.40
  4. Step 4: Simplify right side
    24,403.76x = 352,201,419.31
  5. Step 5: Solve for x
    x = 352,201,419.31/24,403.76
  6. Step 6: Final answer
    x = 14,432.26

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