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Finding the Fourth Proportional to 24,871.09, 37,305.42 and 9,287.50

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Solution

The fourth proportional to 24,871.09, 37,305.42 and 9,287.50 is: 13,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.09 : 37,305.42 = 9,287.50 : x
  2. Step 2: Convert to fraction form
    24,871.09/37,305.42 = 9,287.50/x
  3. Step 3: Cross multiply
    24,871.09x = 37,305.42 × 9,287.50
  4. Step 4: Simplify right side
    24,871.09x = 346,474,088.25
  5. Step 5: Solve for x
    x = 346,474,088.25/24,871.09
  6. Step 6: Final answer
    x = 13,930.80

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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.