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Finding the Fourth Proportional to 23,810.18, 32,859.09 and 13,199.14

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Solution

The fourth proportional to 23,810.18, 32,859.09 and 13,199.14 is: 18,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.18 : 32,859.09 = 13,199.14 : x
  2. Step 2: Convert to fraction form
    23,810.18/32,859.09 = 13,199.14/x
  3. Step 3: Cross multiply
    23,810.18x = 32,859.09 × 13,199.14
  4. Step 4: Simplify right side
    23,810.18x = 433,711,729.18
  5. Step 5: Solve for x
    x = 433,711,729.18/23,810.18
  6. Step 6: Final answer
    x = 18,215.39

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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.