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Finding the Fourth Proportional to 22,875.40, 34,296.90 and 10,401.40

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Solution

The fourth proportional to 22,875.40, 34,296.90 and 10,401.40 is: 15,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.40 : 34,296.90 = 10,401.40 : x
  2. Step 2: Convert to fraction form
    22,875.40/34,296.90 = 10,401.40/x
  3. Step 3: Cross multiply
    22,875.40x = 34,296.90 × 10,401.40
  4. Step 4: Simplify right side
    22,875.40x = 356,735,775.66
  5. Step 5: Solve for x
    x = 356,735,775.66/22,875.40
  6. Step 6: Final answer
    x = 15,594.73

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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.