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Finding the Fourth Proportional to 22,549.76, 31,119.84 and 13,120.64

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Solution

The fourth proportional to 22,549.76, 31,119.84 and 13,120.64 is: 18,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.76 : 31,119.84 = 13,120.64 : x
  2. Step 2: Convert to fraction form
    22,549.76/31,119.84 = 13,120.64/x
  3. Step 3: Cross multiply
    22,549.76x = 31,119.84 × 13,120.64
  4. Step 4: Simplify right side
    22,549.76x = 408,312,217.50
  5. Step 5: Solve for x
    x = 408,312,217.50/22,549.76
  6. Step 6: Final answer
    x = 18,107.16

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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.