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Finding the Fourth Proportional to 10,032.39, 15,020.73 and 7,559.82

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Solution

The fourth proportional to 10,032.39, 15,020.73 and 7,559.82 is: 11,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.39 : 15,020.73 = 7,559.82 : x
  2. Step 2: Convert to fraction form
    10,032.39/15,020.73 = 7,559.82/x
  3. Step 3: Cross multiply
    10,032.39x = 15,020.73 × 7,559.82
  4. Step 4: Simplify right side
    10,032.39x = 113,554,015.07
  5. Step 5: Solve for x
    x = 113,554,015.07/10,032.39
  6. Step 6: Final answer
    x = 11,318.74

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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.