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Finding the Fourth Proportional to 15,284.34, 22,947.75 and 7,894.26

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Solution

The fourth proportional to 15,284.34, 22,947.75 and 7,894.26 is: 11,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.34 : 22,947.75 = 7,894.26 : x
  2. Step 2: Convert to fraction form
    15,284.34/22,947.75 = 7,894.26/x
  3. Step 3: Cross multiply
    15,284.34x = 22,947.75 × 7,894.26
  4. Step 4: Simplify right side
    15,284.34x = 181,155,504.92
  5. Step 5: Solve for x
    x = 181,155,504.92/15,284.34
  6. Step 6: Final answer
    x = 11,852.36

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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.