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Finding the Fourth Proportional to 15,874.40, 23,779.20 and 7,529.12

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Solution

The fourth proportional to 15,874.40, 23,779.20 and 7,529.12 is: 11,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.40 : 23,779.20 = 7,529.12 : x
  2. Step 2: Convert to fraction form
    15,874.40/23,779.20 = 7,529.12/x
  3. Step 3: Cross multiply
    15,874.40x = 23,779.20 × 7,529.12
  4. Step 4: Simplify right side
    15,874.40x = 179,036,450.30
  5. Step 5: Solve for x
    x = 179,036,450.30/15,874.40
  6. Step 6: Final answer
    x = 11,278.31

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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.