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Finding the Fourth Proportional to 16,242.40, 24,363.66 and 5,854.96

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Solution

The fourth proportional to 16,242.40, 24,363.66 and 5,854.96 is: 8,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.40 : 24,363.66 = 5,854.96 : x
  2. Step 2: Convert to fraction form
    16,242.40/24,363.66 = 5,854.96/x
  3. Step 3: Cross multiply
    16,242.40x = 24,363.66 × 5,854.96
  4. Step 4: Simplify right side
    16,242.40x = 142,648,254.75
  5. Step 5: Solve for x
    x = 142,648,254.75/16,242.40
  6. Step 6: Final answer
    x = 8,782.46

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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.