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Finding the Fourth Proportional to 22,752.19, 31,397.16 and 12,680.09

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Solution

The fourth proportional to 22,752.19, 31,397.16 and 12,680.09 is: 17,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.19 : 31,397.16 = 12,680.09 : x
  2. Step 2: Convert to fraction form
    22,752.19/31,397.16 = 12,680.09/x
  3. Step 3: Cross multiply
    22,752.19x = 31,397.16 × 12,680.09
  4. Step 4: Simplify right side
    22,752.19x = 398,118,814.54
  5. Step 5: Solve for x
    x = 398,118,814.54/22,752.19
  6. Step 6: Final answer
    x = 17,498.05

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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.