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Finding the Fourth Proportional to 13,123.44, 19,680.91 and 4,356

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Solution

The fourth proportional to 13,123.44, 19,680.91 and 4,356 is: 6,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.44 : 19,680.91 = 4,356 : x
  2. Step 2: Convert to fraction form
    13,123.44/19,680.91 = 4,356/x
  3. Step 3: Cross multiply
    13,123.44x = 19,680.91 × 4,356
  4. Step 4: Simplify right side
    13,123.44x = 85,730,033.07
  5. Step 5: Solve for x
    x = 85,730,033.07/13,123.44
  6. Step 6: Final answer
    x = 6,532.59

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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.