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Finding the Fourth Proportional to 15,902.39, 23,849.94 and 7,139.81

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Solution

The fourth proportional to 15,902.39, 23,849.94 and 7,139.81 is: 10,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.39 : 23,849.94 = 7,139.81 : x
  2. Step 2: Convert to fraction form
    15,902.39/23,849.94 = 7,139.81/x
  3. Step 3: Cross multiply
    15,902.39x = 23,849.94 × 7,139.81
  4. Step 4: Simplify right side
    15,902.39x = 170,284,126.51
  5. Step 5: Solve for x
    x = 170,284,126.51/15,902.39
  6. Step 6: Final answer
    x = 10,708.08

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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.