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Finding the Fourth Proportional to 22,129.84, 30,540 and 13,630.24

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Solution

The fourth proportional to 22,129.84, 30,540 and 13,630.24 is: 18,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.84 : 30,540 = 13,630.24 : x
  2. Step 2: Convert to fraction form
    22,129.84/30,540 = 13,630.24/x
  3. Step 3: Cross multiply
    22,129.84x = 30,540 × 13,630.24
  4. Step 4: Simplify right side
    22,129.84x = 416,267,529.60
  5. Step 5: Solve for x
    x = 416,267,529.60/22,129.84
  6. Step 6: Final answer
    x = 18,810.24

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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.