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Finding the Fourth Proportional to 23,035.64, 34,545.78 and 7,449.08

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Solution

The fourth proportional to 23,035.64, 34,545.78 and 7,449.08 is: 11,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.64 : 34,545.78 = 7,449.08 : x
  2. Step 2: Convert to fraction form
    23,035.64/34,545.78 = 7,449.08/x
  3. Step 3: Cross multiply
    23,035.64x = 34,545.78 × 7,449.08
  4. Step 4: Simplify right side
    23,035.64x = 257,334,278.88
  5. Step 5: Solve for x
    x = 257,334,278.88/23,035.64
  6. Step 6: Final answer
    x = 11,171.14

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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.