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Finding the Fourth Proportional to 24,218.96, 36,308.82 and 7,570.42

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Solution

The fourth proportional to 24,218.96, 36,308.82 and 7,570.42 is: 11,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.96 : 36,308.82 = 7,570.42 : x
  2. Step 2: Convert to fraction form
    24,218.96/36,308.82 = 7,570.42/x
  3. Step 3: Cross multiply
    24,218.96x = 36,308.82 × 7,570.42
  4. Step 4: Simplify right side
    24,218.96x = 274,872,835.56
  5. Step 5: Solve for x
    x = 274,872,835.56/24,218.96
  6. Step 6: Final answer
    x = 11,349.49

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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.