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Finding the Fourth Proportional to 13,797.58, 19,022.87 and 10,026.22

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Solution

The fourth proportional to 13,797.58, 19,022.87 and 10,026.22 is: 13,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.58 : 19,022.87 = 10,026.22 : x
  2. Step 2: Convert to fraction form
    13,797.58/19,022.87 = 10,026.22/x
  3. Step 3: Cross multiply
    13,797.58x = 19,022.87 × 10,026.22
  4. Step 4: Simplify right side
    13,797.58x = 190,727,479.65
  5. Step 5: Solve for x
    x = 190,727,479.65/13,797.58
  6. Step 6: Final answer
    x = 13,823.26

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1.5x scale

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.