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Finding the Fourth Proportional to 12,763.80, 17,614.48 and 7,100.14

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Solution

The fourth proportional to 12,763.80, 17,614.48 and 7,100.14 is: 9,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.80 : 17,614.48 = 7,100.14 : x
  2. Step 2: Convert to fraction form
    12,763.80/17,614.48 = 7,100.14/x
  3. Step 3: Cross multiply
    12,763.80x = 17,614.48 × 7,100.14
  4. Step 4: Simplify right side
    12,763.80x = 125,065,274.03
  5. Step 5: Solve for x
    x = 125,065,274.03/12,763.80
  6. Step 6: Final answer
    x = 9,798.44

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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.