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Finding the Fourth Proportional to 16,189.16, 24,277.88 and 5,656.24

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Solution

The fourth proportional to 16,189.16, 24,277.88 and 5,656.24 is: 8,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.16 : 24,277.88 = 5,656.24 : x
  2. Step 2: Convert to fraction form
    16,189.16/24,277.88 = 5,656.24/x
  3. Step 3: Cross multiply
    16,189.16x = 24,277.88 × 5,656.24
  4. Step 4: Simplify right side
    16,189.16x = 137,321,515.97
  5. Step 5: Solve for x
    x = 137,321,515.97/16,189.16
  6. Step 6: Final answer
    x = 8,482.31

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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.