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Finding the Fourth Proportional to 22,574.91, 33,856.92 and 9,420.15

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Solution

The fourth proportional to 22,574.91, 33,856.92 and 9,420.15 is: 14,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.91 : 33,856.92 = 9,420.15 : x
  2. Step 2: Convert to fraction form
    22,574.91/33,856.92 = 9,420.15/x
  3. Step 3: Cross multiply
    22,574.91x = 33,856.92 × 9,420.15
  4. Step 4: Simplify right side
    22,574.91x = 318,937,264.94
  5. Step 5: Solve for x
    x = 318,937,264.94/22,574.91
  6. Step 6: Final answer
    x = 14,127.95

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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.