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Finding the Fourth Proportional to 24,598, 33,945.28 and 13,420

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Solution

The fourth proportional to 24,598, 33,945.28 and 13,420 is: 18,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 33,945.28 = 13,420 : x
  2. Step 2: Convert to fraction form
    24,598/33,945.28 = 13,420/x
  3. Step 3: Cross multiply
    24,598x = 33,945.28 × 13,420
  4. Step 4: Simplify right side
    24,598x = 455,545,657.60
  5. Step 5: Solve for x
    x = 455,545,657.60/24,598
  6. Step 6: Final answer
    x = 18,519.62

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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.