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Finding the Fourth Proportional to 12,390.80, 18,572.76 and 6,142.16

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Solution

The fourth proportional to 12,390.80, 18,572.76 and 6,142.16 is: 9,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390.80 : 18,572.76 = 6,142.16 : x
  2. Step 2: Convert to fraction form
    12,390.80/18,572.76 = 6,142.16/x
  3. Step 3: Cross multiply
    12,390.80x = 18,572.76 × 6,142.16
  4. Step 4: Simplify right side
    12,390.80x = 114,076,863.56
  5. Step 5: Solve for x
    x = 114,076,863.56/12,390.80
  6. Step 6: Final answer
    x = 9,206.58

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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.