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Finding the Fourth Proportional to 15,713.92, 23,578.56 and 7,394.77

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Solution

The fourth proportional to 15,713.92, 23,578.56 and 7,394.77 is: 11,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.92 : 23,578.56 = 7,394.77 : x
  2. Step 2: Convert to fraction form
    15,713.92/23,578.56 = 7,394.77/x
  3. Step 3: Cross multiply
    15,713.92x = 23,578.56 × 7,394.77
  4. Step 4: Simplify right side
    15,713.92x = 174,358,028.13
  5. Step 5: Solve for x
    x = 174,358,028.13/15,713.92
  6. Step 6: Final answer
    x = 11,095.77

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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.