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Finding the Fourth Proportional to 16,210.49, 24,317.85 and 6,348.48

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Solution

The fourth proportional to 16,210.49, 24,317.85 and 6,348.48 is: 9,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.49 : 24,317.85 = 6,348.48 : x
  2. Step 2: Convert to fraction form
    16,210.49/24,317.85 = 6,348.48/x
  3. Step 3: Cross multiply
    16,210.49x = 24,317.85 × 6,348.48
  4. Step 4: Simplify right side
    16,210.49x = 154,381,441.87
  5. Step 5: Solve for x
    x = 154,381,441.87/16,210.49
  6. Step 6: Final answer
    x = 9,523.55

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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.