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Finding the Fourth Proportional to 13,013.54, 19,520.46 and 4,580.29

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Solution

The fourth proportional to 13,013.54, 19,520.46 and 4,580.29 is: 6,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.54 : 19,520.46 = 4,580.29 : x
  2. Step 2: Convert to fraction form
    13,013.54/19,520.46 = 4,580.29/x
  3. Step 3: Cross multiply
    13,013.54x = 19,520.46 × 4,580.29
  4. Step 4: Simplify right side
    13,013.54x = 89,409,367.73
  5. Step 5: Solve for x
    x = 89,409,367.73/13,013.54
  6. Step 6: Final answer
    x = 6,870.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.