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Finding the Fourth Proportional to 16,430.32, 24,655.24 and 6,049.36

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Solution

The fourth proportional to 16,430.32, 24,655.24 and 6,049.36 is: 9,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.32 : 24,655.24 = 6,049.36 : x
  2. Step 2: Convert to fraction form
    16,430.32/24,655.24 = 6,049.36/x
  3. Step 3: Cross multiply
    16,430.32x = 24,655.24 × 6,049.36
  4. Step 4: Simplify right side
    16,430.32x = 149,148,422.65
  5. Step 5: Solve for x
    x = 149,148,422.65/16,430.32
  6. Step 6: Final answer
    x = 9,077.63

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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.