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Finding the Fourth Proportional to 23,648.17, 32,636.15 and 13,578.25

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Solution

The fourth proportional to 23,648.17, 32,636.15 and 13,578.25 is: 18,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.17 : 32,636.15 = 13,578.25 : x
  2. Step 2: Convert to fraction form
    23,648.17/32,636.15 = 13,578.25/x
  3. Step 3: Cross multiply
    23,648.17x = 32,636.15 × 13,578.25
  4. Step 4: Simplify right side
    23,648.17x = 443,141,803.74
  5. Step 5: Solve for x
    x = 443,141,803.74/23,648.17
  6. Step 6: Final answer
    x = 18,738.95

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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.