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Finding the Fourth Proportional to 16,658.48, 22,987.80 and 9,206

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Solution

The fourth proportional to 16,658.48, 22,987.80 and 9,206 is: 12,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.48 : 22,987.80 = 9,206 : x
  2. Step 2: Convert to fraction form
    16,658.48/22,987.80 = 9,206/x
  3. Step 3: Cross multiply
    16,658.48x = 22,987.80 × 9,206
  4. Step 4: Simplify right side
    16,658.48x = 211,625,686.80
  5. Step 5: Solve for x
    x = 211,625,686.80/16,658.48
  6. Step 6: Final answer
    x = 12,703.78

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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.