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Finding the Fourth Proportional to 15,527.40, 23,294.82 and 6,764.82

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Solution

The fourth proportional to 15,527.40, 23,294.82 and 6,764.82 is: 10,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.40 : 23,294.82 = 6,764.82 : x
  2. Step 2: Convert to fraction form
    15,527.40/23,294.82 = 6,764.82/x
  3. Step 3: Cross multiply
    15,527.40x = 23,294.82 × 6,764.82
  4. Step 4: Simplify right side
    15,527.40x = 157,585,264.23
  5. Step 5: Solve for x
    x = 157,585,264.23/15,527.40
  6. Step 6: Final answer
    x = 10,148.85

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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.