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Finding the Fourth Proportional to 24,761.76, 37,148.84 and 11,598.78

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Solution

The fourth proportional to 24,761.76, 37,148.84 and 11,598.78 is: 17,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.76 : 37,148.84 = 11,598.78 : x
  2. Step 2: Convert to fraction form
    24,761.76/37,148.84 = 11,598.78/x
  3. Step 3: Cross multiply
    24,761.76x = 37,148.84 × 11,598.78
  4. Step 4: Simplify right side
    24,761.76x = 430,881,222.42
  5. Step 5: Solve for x
    x = 430,881,222.42/24,761.76
  6. Step 6: Final answer
    x = 17,401.07

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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.