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Finding the Fourth Proportional to 15,256.40, 22,883.16 and 7,856.96

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Solution

The fourth proportional to 15,256.40, 22,883.16 and 7,856.96 is: 11,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256.40 : 22,883.16 = 7,856.96 : x
  2. Step 2: Convert to fraction form
    15,256.40/22,883.16 = 7,856.96/x
  3. Step 3: Cross multiply
    15,256.40x = 22,883.16 × 7,856.96
  4. Step 4: Simplify right side
    15,256.40x = 179,792,072.79
  5. Step 5: Solve for x
    x = 179,792,072.79/15,256.40
  6. Step 6: Final answer
    x = 11,784.70

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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.