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Finding the Fourth Proportional to 13,797.38, 19,017.62 and 9,758.99

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Solution

The fourth proportional to 13,797.38, 19,017.62 and 9,758.99 is: 13,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.38 : 19,017.62 = 9,758.99 : x
  2. Step 2: Convert to fraction form
    13,797.38/19,017.62 = 9,758.99/x
  3. Step 3: Cross multiply
    13,797.38x = 19,017.62 × 9,758.99
  4. Step 4: Simplify right side
    13,797.38x = 185,592,762.15
  5. Step 5: Solve for x
    x = 185,592,762.15/13,797.38
  6. Step 6: Final answer
    x = 13,451.30

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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.