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Finding the Fourth Proportional to 12,614.04, 17,404.74 and 7,308.54

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Solution

The fourth proportional to 12,614.04, 17,404.74 and 7,308.54 is: 10,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.04 : 17,404.74 = 7,308.54 : x
  2. Step 2: Convert to fraction form
    12,614.04/17,404.74 = 7,308.54/x
  3. Step 3: Cross multiply
    12,614.04x = 17,404.74 × 7,308.54
  4. Step 4: Simplify right side
    12,614.04x = 127,203,238.48
  5. Step 5: Solve for x
    x = 127,203,238.48/12,614.04
  6. Step 6: Final answer
    x = 10,084.26

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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.