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Finding the Fourth Proportional to 16,565.75, 24,848.64 and 4,253.75

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Solution

The fourth proportional to 16,565.75, 24,848.64 and 4,253.75 is: 6,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.75 : 24,848.64 = 4,253.75 : x
  2. Step 2: Convert to fraction form
    16,565.75/24,848.64 = 4,253.75/x
  3. Step 3: Cross multiply
    16,565.75x = 24,848.64 × 4,253.75
  4. Step 4: Simplify right side
    16,565.75x = 105,699,902.40
  5. Step 5: Solve for x
    x = 105,699,902.40/16,565.75
  6. Step 6: Final answer
    x = 6,380.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.