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Finding the Fourth Proportional to 24,951.84, 37,368 and 13,832.16

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Solution

The fourth proportional to 24,951.84, 37,368 and 13,832.16 is: 20,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.84 : 37,368 = 13,832.16 : x
  2. Step 2: Convert to fraction form
    24,951.84/37,368 = 13,832.16/x
  3. Step 3: Cross multiply
    24,951.84x = 37,368 × 13,832.16
  4. Step 4: Simplify right side
    24,951.84x = 516,880,154.88
  5. Step 5: Solve for x
    x = 516,880,154.88/24,951.84
  6. Step 6: Final answer
    x = 20,715.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.