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Finding the Fourth Proportional to 22,584, 31,152.52 and 13,626.20

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Solution

The fourth proportional to 22,584, 31,152.52 and 13,626.20 is: 18,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584 : 31,152.52 = 13,626.20 : x
  2. Step 2: Convert to fraction form
    22,584/31,152.52 = 13,626.20/x
  3. Step 3: Cross multiply
    22,584x = 31,152.52 × 13,626.20
  4. Step 4: Simplify right side
    22,584x = 424,490,468.02
  5. Step 5: Solve for x
    x = 424,490,468.02/22,584
  6. Step 6: Final answer
    x = 18,796.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.