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Finding the Fourth Proportional to 24,768.64, 37,154.58 and 7,237

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Solution

The fourth proportional to 24,768.64, 37,154.58 and 7,237 is: 10,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.64 : 37,154.58 = 7,237 : x
  2. Step 2: Convert to fraction form
    24,768.64/37,154.58 = 7,237/x
  3. Step 3: Cross multiply
    24,768.64x = 37,154.58 × 7,237
  4. Step 4: Simplify right side
    24,768.64x = 268,887,695.46
  5. Step 5: Solve for x
    x = 268,887,695.46/24,768.64
  6. Step 6: Final answer
    x = 10,855.97

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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.