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Finding the Fourth Proportional to 13,685.74, 18,886.28 and 7,398.12

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Solution

The fourth proportional to 13,685.74, 18,886.28 and 7,398.12 is: 10,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.74 : 18,886.28 = 7,398.12 : x
  2. Step 2: Convert to fraction form
    13,685.74/18,886.28 = 7,398.12/x
  3. Step 3: Cross multiply
    13,685.74x = 18,886.28 × 7,398.12
  4. Step 4: Simplify right side
    13,685.74x = 139,722,965.79
  5. Step 5: Solve for x
    x = 139,722,965.79/13,685.74
  6. Step 6: Final answer
    x = 10,209.38

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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.