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Finding the Fourth Proportional to 24,748.64, 37,120.80 and 7,222.40

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Solution

The fourth proportional to 24,748.64, 37,120.80 and 7,222.40 is: 10,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748.64 : 37,120.80 = 7,222.40 : x
  2. Step 2: Convert to fraction form
    24,748.64/37,120.80 = 7,222.40/x
  3. Step 3: Cross multiply
    24,748.64x = 37,120.80 × 7,222.40
  4. Step 4: Simplify right side
    24,748.64x = 268,101,265.92
  5. Step 5: Solve for x
    x = 268,101,265.92/24,748.64
  6. Step 6: Final answer
    x = 10,832.97

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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.