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Finding the Fourth Proportional to 24,873.47, 37,308.98 and 9,289.88

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Solution

The fourth proportional to 24,873.47, 37,308.98 and 9,289.88 is: 13,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,873.47 : 37,308.98 = 9,289.88 : x
  2. Step 2: Convert to fraction form
    24,873.47/37,308.98 = 9,289.88/x
  3. Step 3: Cross multiply
    24,873.47x = 37,308.98 × 9,289.88
  4. Step 4: Simplify right side
    24,873.47x = 346,595,714.13
  5. Step 5: Solve for x
    x = 346,595,714.13/24,873.47
  6. Step 6: Final answer
    x = 13,934.36

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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.