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Finding the Fourth Proportional to 14,138.68, 21,208.02 and 9,742.90

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Solution

The fourth proportional to 14,138.68, 21,208.02 and 9,742.90 is: 14,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.68 : 21,208.02 = 9,742.90 : x
  2. Step 2: Convert to fraction form
    14,138.68/21,208.02 = 9,742.90/x
  3. Step 3: Cross multiply
    14,138.68x = 21,208.02 × 9,742.90
  4. Step 4: Simplify right side
    14,138.68x = 206,627,618.06
  5. Step 5: Solve for x
    x = 206,627,618.06/14,138.68
  6. Step 6: Final answer
    x = 14,614.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.