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Finding the Fourth Proportional to 24,458.25, 36,666.65 and 9,677.59

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Solution

The fourth proportional to 24,458.25, 36,666.65 and 9,677.59 is: 14,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.25 : 36,666.65 = 9,677.59 : x
  2. Step 2: Convert to fraction form
    24,458.25/36,666.65 = 9,677.59/x
  3. Step 3: Cross multiply
    24,458.25x = 36,666.65 × 9,677.59
  4. Step 4: Simplify right side
    24,458.25x = 354,844,756.99
  5. Step 5: Solve for x
    x = 354,844,756.99/24,458.25
  6. Step 6: Final answer
    x = 14,508.19

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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.