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Finding the Fourth Proportional to 13,685.62, 18,860.34 and 9,902.38

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Solution

The fourth proportional to 13,685.62, 18,860.34 and 9,902.38 is: 13,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.62 : 18,860.34 = 9,902.38 : x
  2. Step 2: Convert to fraction form
    13,685.62/18,860.34 = 9,902.38/x
  3. Step 3: Cross multiply
    13,685.62x = 18,860.34 × 9,902.38
  4. Step 4: Simplify right side
    13,685.62x = 186,762,159.31
  5. Step 5: Solve for x
    x = 186,762,159.31/13,685.62
  6. Step 6: Final answer
    x = 13,646.60

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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.