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Finding the Fourth Proportional to 16,189.80, 22,337.52 and 12,836.40

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Solution

The fourth proportional to 16,189.80, 22,337.52 and 12,836.40 is: 17,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.80 : 22,337.52 = 12,836.40 : x
  2. Step 2: Convert to fraction form
    16,189.80/22,337.52 = 12,836.40/x
  3. Step 3: Cross multiply
    16,189.80x = 22,337.52 × 12,836.40
  4. Step 4: Simplify right side
    16,189.80x = 286,733,341.73
  5. Step 5: Solve for x
    x = 286,733,341.73/16,189.80
  6. Step 6: Final answer
    x = 17,710.74

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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.