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Finding the Fourth Proportional to 15,256.80, 22,847.76 and 10,564.56

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Solution

The fourth proportional to 15,256.80, 22,847.76 and 10,564.56 is: 15,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256.80 : 22,847.76 = 10,564.56 : x
  2. Step 2: Convert to fraction form
    15,256.80/22,847.76 = 10,564.56/x
  3. Step 3: Cross multiply
    15,256.80x = 22,847.76 × 10,564.56
  4. Step 4: Simplify right side
    15,256.80x = 241,376,531.39
  5. Step 5: Solve for x
    x = 241,376,531.39/15,256.80
  6. Step 6: Final answer
    x = 15,820.91

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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.