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Finding the Fourth Proportional to 15,779.31, 23,657.19 and 9,537.90

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Solution

The fourth proportional to 15,779.31, 23,657.19 and 9,537.90 is: 14,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.31 : 23,657.19 = 9,537.90 : x
  2. Step 2: Convert to fraction form
    15,779.31/23,657.19 = 9,537.90/x
  3. Step 3: Cross multiply
    15,779.31x = 23,657.19 × 9,537.90
  4. Step 4: Simplify right side
    15,779.31x = 225,639,912.50
  5. Step 5: Solve for x
    x = 225,639,912.50/15,779.31
  6. Step 6: Final answer
    x = 14,299.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.