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Finding the Fourth Proportional to 15,100.34, 20,838.06 and 8,385.78

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Solution

The fourth proportional to 15,100.34, 20,838.06 and 8,385.78 is: 11,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,100.34 : 20,838.06 = 8,385.78 : x
  2. Step 2: Convert to fraction form
    15,100.34/20,838.06 = 8,385.78/x
  3. Step 3: Cross multiply
    15,100.34x = 20,838.06 × 8,385.78
  4. Step 4: Simplify right side
    15,100.34x = 174,743,464.93
  5. Step 5: Solve for x
    x = 174,743,464.93/15,100.34
  6. Step 6: Final answer
    x = 11,572.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.