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Finding the Fourth Proportional to 24,564.30, 36,853.68 and 7,924.02

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Solution

The fourth proportional to 24,564.30, 36,853.68 and 7,924.02 is: 11,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.30 : 36,853.68 = 7,924.02 : x
  2. Step 2: Convert to fraction form
    24,564.30/36,853.68 = 7,924.02/x
  3. Step 3: Cross multiply
    24,564.30x = 36,853.68 × 7,924.02
  4. Step 4: Simplify right side
    24,564.30x = 292,029,297.39
  5. Step 5: Solve for x
    x = 292,029,297.39/24,564.30
  6. Step 6: Final answer
    x = 11,888.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.