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Finding the Fourth Proportional to 16,177.68, 22,323.48 and 9,103.98

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Solution

The fourth proportional to 16,177.68, 22,323.48 and 9,103.98 is: 12,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.68 : 22,323.48 = 9,103.98 : x
  2. Step 2: Convert to fraction form
    16,177.68/22,323.48 = 9,103.98/x
  3. Step 3: Cross multiply
    16,177.68x = 22,323.48 × 9,103.98
  4. Step 4: Simplify right side
    16,177.68x = 203,232,515.45
  5. Step 5: Solve for x
    x = 203,232,515.45/16,177.68
  6. Step 6: Final answer
    x = 12,562.53

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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.