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Finding the Fourth Proportional to 24,719.68, 37,081.92 and 7,184.80

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Solution

The fourth proportional to 24,719.68, 37,081.92 and 7,184.80 is: 10,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.68 : 37,081.92 = 7,184.80 : x
  2. Step 2: Convert to fraction form
    24,719.68/37,081.92 = 7,184.80/x
  3. Step 3: Cross multiply
    24,719.68x = 37,081.92 × 7,184.80
  4. Step 4: Simplify right side
    24,719.68x = 266,426,178.82
  5. Step 5: Solve for x
    x = 266,426,178.82/24,719.68
  6. Step 6: Final answer
    x = 10,777.90

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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.