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Finding the Fourth Proportional to 12,678.68, 19,001.04 and 7,129.28

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Solution

The fourth proportional to 12,678.68, 19,001.04 and 7,129.28 is: 10,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.68 : 19,001.04 = 7,129.28 : x
  2. Step 2: Convert to fraction form
    12,678.68/19,001.04 = 7,129.28/x
  3. Step 3: Cross multiply
    12,678.68x = 19,001.04 × 7,129.28
  4. Step 4: Simplify right side
    12,678.68x = 135,463,734.45
  5. Step 5: Solve for x
    x = 135,463,734.45/12,678.68
  6. Step 6: Final answer
    x = 10,684.37

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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.