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Finding the Fourth Proportional to 24,574.77, 36,861.35 and 13,486.68

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Solution

The fourth proportional to 24,574.77, 36,861.35 and 13,486.68 is: 20,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.77 : 36,861.35 = 13,486.68 : x
  2. Step 2: Convert to fraction form
    24,574.77/36,861.35 = 13,486.68/x
  3. Step 3: Cross multiply
    24,574.77x = 36,861.35 × 13,486.68
  4. Step 4: Simplify right side
    24,574.77x = 497,137,164.38
  5. Step 5: Solve for x
    x = 497,137,164.38/24,574.77
  6. Step 6: Final answer
    x = 20,229.58

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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.