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Finding the Fourth Proportional to 15,227.70, 22,840.74 and 4,838.64

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Solution

The fourth proportional to 15,227.70, 22,840.74 and 4,838.64 is: 7,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.70 : 22,840.74 = 4,838.64 : x
  2. Step 2: Convert to fraction form
    15,227.70/22,840.74 = 4,838.64/x
  3. Step 3: Cross multiply
    15,227.70x = 22,840.74 × 4,838.64
  4. Step 4: Simplify right side
    15,227.70x = 110,518,118.19
  5. Step 5: Solve for x
    x = 110,518,118.19/15,227.70
  6. Step 6: Final answer
    x = 7,257.70

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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.