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Finding the Fourth Proportional to 12,461.19, 18,702.57 and 6,542.26

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Solution

The fourth proportional to 12,461.19, 18,702.57 and 6,542.26 is: 9,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.19 : 18,702.57 = 6,542.26 : x
  2. Step 2: Convert to fraction form
    12,461.19/18,702.57 = 6,542.26/x
  3. Step 3: Cross multiply
    12,461.19x = 18,702.57 × 6,542.26
  4. Step 4: Simplify right side
    12,461.19x = 122,357,008.68
  5. Step 5: Solve for x
    x = 122,357,008.68/12,461.19
  6. Step 6: Final answer
    x = 9,819.05

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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.