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Finding the Fourth Proportional to 16,186.76, 24,279.18 and 9,527

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Solution

The fourth proportional to 16,186.76, 24,279.18 and 9,527 is: 14,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.76 : 24,279.18 = 9,527 : x
  2. Step 2: Convert to fraction form
    16,186.76/24,279.18 = 9,527/x
  3. Step 3: Cross multiply
    16,186.76x = 24,279.18 × 9,527
  4. Step 4: Simplify right side
    16,186.76x = 231,307,747.86
  5. Step 5: Solve for x
    x = 231,307,747.86/16,186.76
  6. Step 6: Final answer
    x = 14,289.93

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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.