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Finding the Fourth Proportional to 15,920.30, 23,884.52 and 7,485.17

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Solution

The fourth proportional to 15,920.30, 23,884.52 and 7,485.17 is: 11,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.30 : 23,884.52 = 7,485.17 : x
  2. Step 2: Convert to fraction form
    15,920.30/23,884.52 = 7,485.17/x
  3. Step 3: Cross multiply
    15,920.30x = 23,884.52 × 7,485.17
  4. Step 4: Simplify right side
    15,920.30x = 178,779,535.72
  5. Step 5: Solve for x
    x = 178,779,535.72/15,920.30
  6. Step 6: Final answer
    x = 11,229.66

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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.