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Finding the Fourth Proportional to 16,577.80, 22,877.70 and 9,125.80

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Solution

The fourth proportional to 16,577.80, 22,877.70 and 9,125.80 is: 12,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.80 : 22,877.70 = 9,125.80 : x
  2. Step 2: Convert to fraction form
    16,577.80/22,877.70 = 9,125.80/x
  3. Step 3: Cross multiply
    16,577.80x = 22,877.70 × 9,125.80
  4. Step 4: Simplify right side
    16,577.80x = 208,777,314.66
  5. Step 5: Solve for x
    x = 208,777,314.66/16,577.80
  6. Step 6: Final answer
    x = 12,593.79

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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.