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Finding the Fourth Proportional to 16,302.70, 24,417.60 and 8,502.40

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Solution

The fourth proportional to 16,302.70, 24,417.60 and 8,502.40 is: 12,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.70 : 24,417.60 = 8,502.40 : x
  2. Step 2: Convert to fraction form
    16,302.70/24,417.60 = 8,502.40/x
  3. Step 3: Cross multiply
    16,302.70x = 24,417.60 × 8,502.40
  4. Step 4: Simplify right side
    16,302.70x = 207,608,202.24
  5. Step 5: Solve for x
    x = 207,608,202.24/16,302.70
  6. Step 6: Final answer
    x = 12,734.59

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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.