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Finding the Fourth Proportional to 24,378.57, 36,567.99 and 6,848.55

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Solution

The fourth proportional to 24,378.57, 36,567.99 and 6,848.55 is: 10,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.57 : 36,567.99 = 6,848.55 : x
  2. Step 2: Convert to fraction form
    24,378.57/36,567.99 = 6,848.55/x
  3. Step 3: Cross multiply
    24,378.57x = 36,567.99 × 6,848.55
  4. Step 4: Simplify right side
    24,378.57x = 250,437,707.91
  5. Step 5: Solve for x
    x = 250,437,707.91/24,378.57
  6. Step 6: Final answer
    x = 10,272.86

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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.