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Finding the Fourth Proportional to 16,177.94, 22,329.78 and 9,895.58

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Solution

The fourth proportional to 16,177.94, 22,329.78 and 9,895.58 is: 13,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.94 : 22,329.78 = 9,895.58 : x
  2. Step 2: Convert to fraction form
    16,177.94/22,329.78 = 9,895.58/x
  3. Step 3: Cross multiply
    16,177.94x = 22,329.78 × 9,895.58
  4. Step 4: Simplify right side
    16,177.94x = 220,966,124.37
  5. Step 5: Solve for x
    x = 220,966,124.37/16,177.94
  6. Step 6: Final answer
    x = 13,658.48

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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.