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Finding the Fourth Proportional to 22,986.74, 34,462.56 and 10,498.10

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Solution

The fourth proportional to 22,986.74, 34,462.56 and 10,498.10 is: 15,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.74 : 34,462.56 = 10,498.10 : x
  2. Step 2: Convert to fraction form
    22,986.74/34,462.56 = 10,498.10/x
  3. Step 3: Cross multiply
    22,986.74x = 34,462.56 × 10,498.10
  4. Step 4: Simplify right side
    22,986.74x = 361,791,401.14
  5. Step 5: Solve for x
    x = 361,791,401.14/22,986.74
  6. Step 6: Final answer
    x = 15,739.13

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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.