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Finding the Fourth Proportional to 24,646.68, 36,964.62 and 7,112.70

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Solution

The fourth proportional to 24,646.68, 36,964.62 and 7,112.70 is: 10,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.68 : 36,964.62 = 7,112.70 : x
  2. Step 2: Convert to fraction form
    24,646.68/36,964.62 = 7,112.70/x
  3. Step 3: Cross multiply
    24,646.68x = 36,964.62 × 7,112.70
  4. Step 4: Simplify right side
    24,646.68x = 262,918,252.67
  5. Step 5: Solve for x
    x = 262,918,252.67/24,646.68
  6. Step 6: Final answer
    x = 10,667.49

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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.