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Finding the Fourth Proportional to 15,109.68, 22,657.15 and 4,577.75

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Solution

The fourth proportional to 15,109.68, 22,657.15 and 4,577.75 is: 6,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.68 : 22,657.15 = 4,577.75 : x
  2. Step 2: Convert to fraction form
    15,109.68/22,657.15 = 4,577.75/x
  3. Step 3: Cross multiply
    15,109.68x = 22,657.15 × 4,577.75
  4. Step 4: Simplify right side
    15,109.68x = 103,718,768.41
  5. Step 5: Solve for x
    x = 103,718,768.41/15,109.68
  6. Step 6: Final answer
    x = 6,864.39

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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.