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Finding the Fourth Proportional to 20,535.68, 30,779.85 and 9,278.88

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Solution

The fourth proportional to 20,535.68, 30,779.85 and 9,278.88 is: 13,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.68 : 30,779.85 = 9,278.88 : x
  2. Step 2: Convert to fraction form
    20,535.68/30,779.85 = 9,278.88/x
  3. Step 3: Cross multiply
    20,535.68x = 30,779.85 × 9,278.88
  4. Step 4: Simplify right side
    20,535.68x = 285,602,534.57
  5. Step 5: Solve for x
    x = 285,602,534.57/20,535.68
  6. Step 6: Final answer
    x = 13,907.62

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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.