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Finding the Fourth Proportional to 16,577.57, 22,877.54 and 10,207.84

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Solution

The fourth proportional to 16,577.57, 22,877.54 and 10,207.84 is: 14,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.57 : 22,877.54 = 10,207.84 : x
  2. Step 2: Convert to fraction form
    16,577.57/22,877.54 = 10,207.84/x
  3. Step 3: Cross multiply
    16,577.57x = 22,877.54 × 10,207.84
  4. Step 4: Simplify right side
    16,577.57x = 233,530,267.91
  5. Step 5: Solve for x
    x = 233,530,267.91/16,577.57
  6. Step 6: Final answer
    x = 14,087.12

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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.