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Finding the Fourth Proportional to 24,500.64, 36,751.16 and 7,860.81

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Solution

The fourth proportional to 24,500.64, 36,751.16 and 7,860.81 is: 11,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.64 : 36,751.16 = 7,860.81 : x
  2. Step 2: Convert to fraction form
    24,500.64/36,751.16 = 7,860.81/x
  3. Step 3: Cross multiply
    24,500.64x = 36,751.16 × 7,860.81
  4. Step 4: Simplify right side
    24,500.64x = 288,893,886.04
  5. Step 5: Solve for x
    x = 288,893,886.04/24,500.64
  6. Step 6: Final answer
    x = 11,791.28

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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.