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Finding the Fourth Proportional to 15,300.42, 22,951.91 and 6,535.41

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Solution

The fourth proportional to 15,300.42, 22,951.91 and 6,535.41 is: 9,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.42 : 22,951.91 = 6,535.41 : x
  2. Step 2: Convert to fraction form
    15,300.42/22,951.91 = 6,535.41/x
  3. Step 3: Cross multiply
    15,300.42x = 22,951.91 × 6,535.41
  4. Step 4: Simplify right side
    15,300.42x = 150,000,142.13
  5. Step 5: Solve for x
    x = 150,000,142.13/15,300.42
  6. Step 6: Final answer
    x = 9,803.66

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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.