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Finding the Fourth Proportional to 25,139.23, 37,702.61 and 8,498.90

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Solution

The fourth proportional to 25,139.23, 37,702.61 and 8,498.90 is: 12,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139.23 : 37,702.61 = 8,498.90 : x
  2. Step 2: Convert to fraction form
    25,139.23/37,702.61 = 8,498.90/x
  3. Step 3: Cross multiply
    25,139.23x = 37,702.61 × 8,498.90
  4. Step 4: Simplify right side
    25,139.23x = 320,430,712.13
  5. Step 5: Solve for x
    x = 320,430,712.13/25,139.23
  6. Step 6: Final answer
    x = 12,746.24

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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.