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Finding the Fourth Proportional to 24,742.26, 37,127.97 and 9,952.67

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Solution

The fourth proportional to 24,742.26, 37,127.97 and 9,952.67 is: 14,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.26 : 37,127.97 = 9,952.67 : x
  2. Step 2: Convert to fraction form
    24,742.26/37,127.97 = 9,952.67/x
  3. Step 3: Cross multiply
    24,742.26x = 37,127.97 × 9,952.67
  4. Step 4: Simplify right side
    24,742.26x = 369,522,526.00
  5. Step 5: Solve for x
    x = 369,522,526.00/24,742.26
  6. Step 6: Final answer
    x = 14,934.87

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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.