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Finding the Fourth Proportional to 24,518, 33,835.38 and 13,340

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Solution

The fourth proportional to 24,518, 33,835.38 and 13,340 is: 18,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518 : 33,835.38 = 13,340 : x
  2. Step 2: Convert to fraction form
    24,518/33,835.38 = 13,340/x
  3. Step 3: Cross multiply
    24,518x = 33,835.38 × 13,340
  4. Step 4: Simplify right side
    24,518x = 451,363,969.20
  5. Step 5: Solve for x
    x = 451,363,969.20/24,518
  6. Step 6: Final answer
    x = 18,409.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.