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Finding the Fourth Proportional to 13,993.38, 19,303.20 and 9,737.70

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Solution

The fourth proportional to 13,993.38, 19,303.20 and 9,737.70 is: 13,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.38 : 19,303.20 = 9,737.70 : x
  2. Step 2: Convert to fraction form
    13,993.38/19,303.20 = 9,737.70/x
  3. Step 3: Cross multiply
    13,993.38x = 19,303.20 × 9,737.70
  4. Step 4: Simplify right side
    13,993.38x = 187,968,770.64
  5. Step 5: Solve for x
    x = 187,968,770.64/13,993.38
  6. Step 6: Final answer
    x = 13,432.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.