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Finding the Fourth Proportional to 24,122.76, 36,178.47 and 13,597.35

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Solution

The fourth proportional to 24,122.76, 36,178.47 and 13,597.35 is: 20,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122.76 : 36,178.47 = 13,597.35 : x
  2. Step 2: Convert to fraction form
    24,122.76/36,178.47 = 13,597.35/x
  3. Step 3: Cross multiply
    24,122.76x = 36,178.47 × 13,597.35
  4. Step 4: Simplify right side
    24,122.76x = 491,931,319.05
  5. Step 5: Solve for x
    x = 491,931,319.05/24,122.76
  6. Step 6: Final answer
    x = 20,392.83

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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.