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Finding the Fourth Proportional to 22,763.80, 31,414.14 and 12,692.20

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Solution

The fourth proportional to 22,763.80, 31,414.14 and 12,692.20 is: 17,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.80 : 31,414.14 = 12,692.20 : x
  2. Step 2: Convert to fraction form
    22,763.80/31,414.14 = 12,692.20/x
  3. Step 3: Cross multiply
    22,763.80x = 31,414.14 × 12,692.20
  4. Step 4: Simplify right side
    22,763.80x = 398,714,547.71
  5. Step 5: Solve for x
    x = 398,714,547.71/22,763.80
  6. Step 6: Final answer
    x = 17,515.29

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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.