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Finding the Fourth Proportional to 15,156.54, 22,736.38 and 5,796.50

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Solution

The fourth proportional to 15,156.54, 22,736.38 and 5,796.50 is: 8,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.54 : 22,736.38 = 5,796.50 : x
  2. Step 2: Convert to fraction form
    15,156.54/22,736.38 = 5,796.50/x
  3. Step 3: Cross multiply
    15,156.54x = 22,736.38 × 5,796.50
  4. Step 4: Simplify right side
    15,156.54x = 131,791,426.67
  5. Step 5: Solve for x
    x = 131,791,426.67/15,156.54
  6. Step 6: Final answer
    x = 8,695.35

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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.