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Finding the Fourth Proportional to 24,302, 36,460.02 and 7,664.34

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Solution

The fourth proportional to 24,302, 36,460.02 and 7,664.34 is: 11,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 36,460.02 = 7,664.34 : x
  2. Step 2: Convert to fraction form
    24,302/36,460.02 = 7,664.34/x
  3. Step 3: Cross multiply
    24,302x = 36,460.02 × 7,664.34
  4. Step 4: Simplify right side
    24,302x = 279,441,989.69
  5. Step 5: Solve for x
    x = 279,441,989.69/24,302
  6. Step 6: Final answer
    x = 11,498.72

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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.