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Finding the Fourth Proportional to 19,713.50, 27,209.20 and 13,000.34

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Solution

The fourth proportional to 19,713.50, 27,209.20 and 13,000.34 is: 17,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.50 : 27,209.20 = 13,000.34 : x
  2. Step 2: Convert to fraction form
    19,713.50/27,209.20 = 13,000.34/x
  3. Step 3: Cross multiply
    19,713.50x = 27,209.20 × 13,000.34
  4. Step 4: Simplify right side
    19,713.50x = 353,728,851.13
  5. Step 5: Solve for x
    x = 353,728,851.13/19,713.50
  6. Step 6: Final answer
    x = 17,943.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.