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Finding the Fourth Proportional to 12,005.87, 16,572.62 and 9,446.99

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Solution

The fourth proportional to 12,005.87, 16,572.62 and 9,446.99 is: 13,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.87 : 16,572.62 = 9,446.99 : x
  2. Step 2: Convert to fraction form
    12,005.87/16,572.62 = 9,446.99/x
  3. Step 3: Cross multiply
    12,005.87x = 16,572.62 × 9,446.99
  4. Step 4: Simplify right side
    12,005.87x = 156,561,316.17
  5. Step 5: Solve for x
    x = 156,561,316.17/12,005.87
  6. Step 6: Final answer
    x = 13,040.40

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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.