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Finding the Fourth Proportional to 16,577.64, 22,877.13 and 9,125.64

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Solution

The fourth proportional to 16,577.64, 22,877.13 and 9,125.64 is: 12,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.64 : 22,877.13 = 9,125.64 : x
  2. Step 2: Convert to fraction form
    16,577.64/22,877.13 = 9,125.64/x
  3. Step 3: Cross multiply
    16,577.64x = 22,877.13 × 9,125.64
  4. Step 4: Simplify right side
    16,577.64x = 208,768,452.61
  5. Step 5: Solve for x
    x = 208,768,452.61/16,577.64
  6. Step 6: Final answer
    x = 12,593.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.