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Finding the Fourth Proportional to 24,749.64, 37,126.08 and 7,218

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Solution

The fourth proportional to 24,749.64, 37,126.08 and 7,218 is: 10,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.64 : 37,126.08 = 7,218 : x
  2. Step 2: Convert to fraction form
    24,749.64/37,126.08 = 7,218/x
  3. Step 3: Cross multiply
    24,749.64x = 37,126.08 × 7,218
  4. Step 4: Simplify right side
    24,749.64x = 267,976,045.44
  5. Step 5: Solve for x
    x = 267,976,045.44/24,749.64
  6. Step 6: Final answer
    x = 10,827.47

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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.