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Finding the Fourth Proportional to 15,656.18, 23,486.85 and 7,759.06

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Solution

The fourth proportional to 15,656.18, 23,486.85 and 7,759.06 is: 11,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,656.18 : 23,486.85 = 7,759.06 : x
  2. Step 2: Convert to fraction form
    15,656.18/23,486.85 = 7,759.06/x
  3. Step 3: Cross multiply
    15,656.18x = 23,486.85 × 7,759.06
  4. Step 4: Simplify right side
    15,656.18x = 182,235,819.64
  5. Step 5: Solve for x
    x = 182,235,819.64/15,656.18
  6. Step 6: Final answer
    x = 11,639.87

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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.