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Finding the Fourth Proportional to 24,650, 36,974.64 and 11,495

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Solution

The fourth proportional to 24,650, 36,974.64 and 11,495 is: 17,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 36,974.64 = 11,495 : x
  2. Step 2: Convert to fraction form
    24,650/36,974.64 = 11,495/x
  3. Step 3: Cross multiply
    24,650x = 36,974.64 × 11,495
  4. Step 4: Simplify right side
    24,650x = 425,023,486.80
  5. Step 5: Solve for x
    x = 425,023,486.80/24,650
  6. Step 6: Final answer
    x = 17,242.33

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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.