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Finding the Fourth Proportional to 22,971.20, 34,461.92 and 12,580.16

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Solution

The fourth proportional to 22,971.20, 34,461.92 and 12,580.16 is: 18,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.20 : 34,461.92 = 12,580.16 : x
  2. Step 2: Convert to fraction form
    22,971.20/34,461.92 = 12,580.16/x
  3. Step 3: Cross multiply
    22,971.20x = 34,461.92 × 12,580.16
  4. Step 4: Simplify right side
    22,971.20x = 433,536,467.51
  5. Step 5: Solve for x
    x = 433,536,467.51/22,971.20
  6. Step 6: Final answer
    x = 18,873.04

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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.