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Finding the Fourth Proportional to 13,137.60, 19,706.40 and 5,342.40

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Solution

The fourth proportional to 13,137.60, 19,706.40 and 5,342.40 is: 8,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.60 : 19,706.40 = 5,342.40 : x
  2. Step 2: Convert to fraction form
    13,137.60/19,706.40 = 5,342.40/x
  3. Step 3: Cross multiply
    13,137.60x = 19,706.40 × 5,342.40
  4. Step 4: Simplify right side
    13,137.60x = 105,279,471.36
  5. Step 5: Solve for x
    x = 105,279,471.36/13,137.60
  6. Step 6: Final answer
    x = 8,013.60

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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.