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Finding the Fourth Proportional to 12,002.61, 16,527.29 and 9,476.62

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Solution

The fourth proportional to 12,002.61, 16,527.29 and 9,476.62 is: 13,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.61 : 16,527.29 = 9,476.62 : x
  2. Step 2: Convert to fraction form
    12,002.61/16,527.29 = 9,476.62/x
  3. Step 3: Cross multiply
    12,002.61x = 16,527.29 × 9,476.62
  4. Step 4: Simplify right side
    12,002.61x = 156,622,846.96
  5. Step 5: Solve for x
    x = 156,622,846.96/12,002.61
  6. Step 6: Final answer
    x = 13,049.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.