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Finding the Fourth Proportional to 24,374, 33,636.13 and 13,196

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Solution

The fourth proportional to 24,374, 33,636.13 and 13,196 is: 18,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 33,636.13 = 13,196 : x
  2. Step 2: Convert to fraction form
    24,374/33,636.13 = 13,196/x
  3. Step 3: Cross multiply
    24,374x = 33,636.13 × 13,196
  4. Step 4: Simplify right side
    24,374x = 443,862,371.48
  5. Step 5: Solve for x
    x = 443,862,371.48/24,374
  6. Step 6: Final answer
    x = 18,210.49

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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.