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Finding the Fourth Proportional to 13,641.18, 20,464.53 and 4,875.87

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Solution

The fourth proportional to 13,641.18, 20,464.53 and 4,875.87 is: 7,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.18 : 20,464.53 = 4,875.87 : x
  2. Step 2: Convert to fraction form
    13,641.18/20,464.53 = 4,875.87/x
  3. Step 3: Cross multiply
    13,641.18x = 20,464.53 × 4,875.87
  4. Step 4: Simplify right side
    13,641.18x = 99,782,387.89
  5. Step 5: Solve for x
    x = 99,782,387.89/13,641.18
  6. Step 6: Final answer
    x = 7,314.79

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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.