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Finding the Fourth Proportional to 22,993.13, 34,458.50 and 10,497.66

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Solution

The fourth proportional to 22,993.13, 34,458.50 and 10,497.66 is: 15,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.13 : 34,458.50 = 10,497.66 : x
  2. Step 2: Convert to fraction form
    22,993.13/34,458.50 = 10,497.66/x
  3. Step 3: Cross multiply
    22,993.13x = 34,458.50 × 10,497.66
  4. Step 4: Simplify right side
    22,993.13x = 361,733,643.35
  5. Step 5: Solve for x
    x = 361,733,643.35/22,993.13
  6. Step 6: Final answer
    x = 15,732.25

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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.