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Finding the Fourth Proportional to 24,956.28, 37,440.56 and 7,426

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Solution

The fourth proportional to 24,956.28, 37,440.56 and 7,426 is: 11,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,956.28 : 37,440.56 = 7,426 : x
  2. Step 2: Convert to fraction form
    24,956.28/37,440.56 = 7,426/x
  3. Step 3: Cross multiply
    24,956.28x = 37,440.56 × 7,426
  4. Step 4: Simplify right side
    24,956.28x = 278,033,598.56
  5. Step 5: Solve for x
    x = 278,033,598.56/24,956.28
  6. Step 6: Final answer
    x = 11,140.83

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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.