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Finding the Fourth Proportional to 24,889, 37,332.54 and 6,169.08

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Solution

The fourth proportional to 24,889, 37,332.54 and 6,169.08 is: 9,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889 : 37,332.54 = 6,169.08 : x
  2. Step 2: Convert to fraction form
    24,889/37,332.54 = 6,169.08/x
  3. Step 3: Cross multiply
    24,889x = 37,332.54 × 6,169.08
  4. Step 4: Simplify right side
    24,889x = 230,307,425.86
  5. Step 5: Solve for x
    x = 230,307,425.86/24,889
  6. Step 6: Final answer
    x = 9,253.38

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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.