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Finding the Fourth Proportional to 12,580.81, 18,875.33 and 6,006.13

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Solution

The fourth proportional to 12,580.81, 18,875.33 and 6,006.13 is: 9,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.81 : 18,875.33 = 6,006.13 : x
  2. Step 2: Convert to fraction form
    12,580.81/18,875.33 = 6,006.13/x
  3. Step 3: Cross multiply
    12,580.81x = 18,875.33 × 6,006.13
  4. Step 4: Simplify right side
    12,580.81x = 113,367,685.77
  5. Step 5: Solve for x
    x = 113,367,685.77/12,580.81
  6. Step 6: Final answer
    x = 9,011.16

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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.