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Finding the Fourth Proportional to 24,290.93, 36,437.69 and 7,652.27

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Solution

The fourth proportional to 24,290.93, 36,437.69 and 7,652.27 is: 11,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.93 : 36,437.69 = 7,652.27 : x
  2. Step 2: Convert to fraction form
    24,290.93/36,437.69 = 7,652.27/x
  3. Step 3: Cross multiply
    24,290.93x = 36,437.69 × 7,652.27
  4. Step 4: Simplify right side
    24,290.93x = 278,831,152.28
  5. Step 5: Solve for x
    x = 278,831,152.28/24,290.93
  6. Step 6: Final answer
    x = 11,478.82

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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.