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Finding the Fourth Proportional to 22,477.71, 33,737.27 and 11,392.16

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Solution

The fourth proportional to 22,477.71, 33,737.27 and 11,392.16 is: 17,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.71 : 33,737.27 = 11,392.16 : x
  2. Step 2: Convert to fraction form
    22,477.71/33,737.27 = 11,392.16/x
  3. Step 3: Cross multiply
    22,477.71x = 33,737.27 × 11,392.16
  4. Step 4: Simplify right side
    22,477.71x = 384,340,152.16
  5. Step 5: Solve for x
    x = 384,340,152.16/22,477.71
  6. Step 6: Final answer
    x = 17,098.72

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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.