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Finding the Fourth Proportional to 24,933.59, 37,400.08 and 7,164.66

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Solution

The fourth proportional to 24,933.59, 37,400.08 and 7,164.66 is: 10,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933.59 : 37,400.08 = 7,164.66 : x
  2. Step 2: Convert to fraction form
    24,933.59/37,400.08 = 7,164.66/x
  3. Step 3: Cross multiply
    24,933.59x = 37,400.08 × 7,164.66
  4. Step 4: Simplify right side
    24,933.59x = 267,958,857.17
  5. Step 5: Solve for x
    x = 267,958,857.17/24,933.59
  6. Step 6: Final answer
    x = 10,746.90

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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.