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Finding the Fourth Proportional to 16,300.56, 24,432.16 and 7,406.31

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Solution

The fourth proportional to 16,300.56, 24,432.16 and 7,406.31 is: 11,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.56 : 24,432.16 = 7,406.31 : x
  2. Step 2: Convert to fraction form
    16,300.56/24,432.16 = 7,406.31/x
  3. Step 3: Cross multiply
    16,300.56x = 24,432.16 × 7,406.31
  4. Step 4: Simplify right side
    16,300.56x = 180,952,150.93
  5. Step 5: Solve for x
    x = 180,952,150.93/16,300.56
  6. Step 6: Final answer
    x = 11,100.98

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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.