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Finding the Fourth Proportional to 15,464.74, 23,178.11 and 7,133.20

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Solution

The fourth proportional to 15,464.74, 23,178.11 and 7,133.20 is: 10,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464.74 : 23,178.11 = 7,133.20 : x
  2. Step 2: Convert to fraction form
    15,464.74/23,178.11 = 7,133.20/x
  3. Step 3: Cross multiply
    15,464.74x = 23,178.11 × 7,133.20
  4. Step 4: Simplify right side
    15,464.74x = 165,334,094.25
  5. Step 5: Solve for x
    x = 165,334,094.25/15,464.74
  6. Step 6: Final answer
    x = 10,691.04

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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.