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Finding the Fourth Proportional to 13,229.76, 18,256.74 and 7,261.40

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Solution

The fourth proportional to 13,229.76, 18,256.74 and 7,261.40 is: 10,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.76 : 18,256.74 = 7,261.40 : x
  2. Step 2: Convert to fraction form
    13,229.76/18,256.74 = 7,261.40/x
  3. Step 3: Cross multiply
    13,229.76x = 18,256.74 × 7,261.40
  4. Step 4: Simplify right side
    13,229.76x = 132,569,491.84
  5. Step 5: Solve for x
    x = 132,569,491.84/13,229.76
  6. Step 6: Final answer
    x = 10,020.55

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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.