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Finding the Fourth Proportional to 16,302.42, 24,454.94 and 5,210.70

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Solution

The fourth proportional to 16,302.42, 24,454.94 and 5,210.70 is: 7,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.42 : 24,454.94 = 5,210.70 : x
  2. Step 2: Convert to fraction form
    16,302.42/24,454.94 = 5,210.70/x
  3. Step 3: Cross multiply
    16,302.42x = 24,454.94 × 5,210.70
  4. Step 4: Simplify right side
    16,302.42x = 127,427,355.86
  5. Step 5: Solve for x
    x = 127,427,355.86/16,302.42
  6. Step 6: Final answer
    x = 7,816.47

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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.