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Finding the Fourth Proportional to 15,158.70, 22,723.38 and 7,766.64

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Solution

The fourth proportional to 15,158.70, 22,723.38 and 7,766.64 is: 11,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158.70 : 22,723.38 = 7,766.64 : x
  2. Step 2: Convert to fraction form
    15,158.70/22,723.38 = 7,766.64/x
  3. Step 3: Cross multiply
    15,158.70x = 22,723.38 × 7,766.64
  4. Step 4: Simplify right side
    15,158.70x = 176,484,312.04
  5. Step 5: Solve for x
    x = 176,484,312.04/15,158.70
  6. Step 6: Final answer
    x = 11,642.44

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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.