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Finding the Fourth Proportional to 15,765.70, 23,648.55 and 15,535.30

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Solution

The fourth proportional to 15,765.70, 23,648.55 and 15,535.30 is: 23,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.70 : 23,648.55 = 15,535.30 : x
  2. Step 2: Convert to fraction form
    15,765.70/23,648.55 = 15,535.30/x
  3. Step 3: Cross multiply
    15,765.70x = 23,648.55 × 15,535.30
  4. Step 4: Simplify right side
    15,765.70x = 367,387,318.82
  5. Step 5: Solve for x
    x = 367,387,318.82/15,765.70
  6. Step 6: Final answer
    x = 23,302.95

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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.