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Finding the Fourth Proportional to 22,648.80, 31,255.63 and 12,577.87

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Solution

The fourth proportional to 22,648.80, 31,255.63 and 12,577.87 is: 17,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.80 : 31,255.63 = 12,577.87 : x
  2. Step 2: Convert to fraction form
    22,648.80/31,255.63 = 12,577.87/x
  3. Step 3: Cross multiply
    22,648.80x = 31,255.63 × 12,577.87
  4. Step 4: Simplify right side
    22,648.80x = 393,129,250.91
  5. Step 5: Solve for x
    x = 393,129,250.91/22,648.80
  6. Step 6: Final answer
    x = 17,357.62

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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.