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Finding the Fourth Proportional to 16,291.36, 24,425.08 and 5,191.66

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Solution

The fourth proportional to 16,291.36, 24,425.08 and 5,191.66 is: 7,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.36 : 24,425.08 = 5,191.66 : x
  2. Step 2: Convert to fraction form
    16,291.36/24,425.08 = 5,191.66/x
  3. Step 3: Cross multiply
    16,291.36x = 24,425.08 × 5,191.66
  4. Step 4: Simplify right side
    16,291.36x = 126,806,710.83
  5. Step 5: Solve for x
    x = 126,806,710.83/16,291.36
  6. Step 6: Final answer
    x = 7,783.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.