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Finding the Fourth Proportional to 24,414.84, 36,632.88 and 10,384.38

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Solution

The fourth proportional to 24,414.84, 36,632.88 and 10,384.38 is: 15,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.84 : 36,632.88 = 10,384.38 : x
  2. Step 2: Convert to fraction form
    24,414.84/36,632.88 = 10,384.38/x
  3. Step 3: Cross multiply
    24,414.84x = 36,632.88 × 10,384.38
  4. Step 4: Simplify right side
    24,414.84x = 380,409,746.41
  5. Step 5: Solve for x
    x = 380,409,746.41/24,414.84
  6. Step 6: Final answer
    x = 15,581.09

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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.