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Finding the Fourth Proportional to 13,104.90, 19,657.35 and 6,543.90

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Solution

The fourth proportional to 13,104.90, 19,657.35 and 6,543.90 is: 9,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.90 : 19,657.35 = 6,543.90 : x
  2. Step 2: Convert to fraction form
    13,104.90/19,657.35 = 6,543.90/x
  3. Step 3: Cross multiply
    13,104.90x = 19,657.35 × 6,543.90
  4. Step 4: Simplify right side
    13,104.90x = 128,635,732.67
  5. Step 5: Solve for x
    x = 128,635,732.67/13,104.90
  6. Step 6: Final answer
    x = 9,815.85

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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.