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Finding the Fourth Proportional to 16,580.78, 22,877.77 and 9,507.20

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Solution

The fourth proportional to 16,580.78, 22,877.77 and 9,507.20 is: 13,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.78 : 22,877.77 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    16,580.78/22,877.77 = 9,507.20/x
  3. Step 3: Cross multiply
    16,580.78x = 22,877.77 × 9,507.20
  4. Step 4: Simplify right side
    16,580.78x = 217,503,452.22
  5. Step 5: Solve for x
    x = 217,503,452.22/16,580.78
  6. Step 6: Final answer
    x = 13,117.81

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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.