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Finding the Fourth Proportional to 16,562.12, 22,859.15 and 10,191.87

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Solution

The fourth proportional to 16,562.12, 22,859.15 and 10,191.87 is: 14,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.12 : 22,859.15 = 10,191.87 : x
  2. Step 2: Convert to fraction form
    16,562.12/22,859.15 = 10,191.87/x
  3. Step 3: Cross multiply
    16,562.12x = 22,859.15 × 10,191.87
  4. Step 4: Simplify right side
    16,562.12x = 232,977,434.15
  5. Step 5: Solve for x
    x = 232,977,434.15/16,562.12
  6. Step 6: Final answer
    x = 14,066.89

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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.