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Finding the Fourth Proportional to 13,641.90, 20,437.20 and 7,780.74

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Solution

The fourth proportional to 13,641.90, 20,437.20 and 7,780.74 is: 11,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.90 : 20,437.20 = 7,780.74 : x
  2. Step 2: Convert to fraction form
    13,641.90/20,437.20 = 7,780.74/x
  3. Step 3: Cross multiply
    13,641.90x = 20,437.20 × 7,780.74
  4. Step 4: Simplify right side
    13,641.90x = 159,016,539.53
  5. Step 5: Solve for x
    x = 159,016,539.53/13,641.90
  6. Step 6: Final answer
    x = 11,656.48

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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.