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Finding the Fourth Proportional to 17,830.80, 26,746.20 and 15,643.80

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Solution

The fourth proportional to 17,830.80, 26,746.20 and 15,643.80 is: 23,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.80 : 26,746.20 = 15,643.80 : x
  2. Step 2: Convert to fraction form
    17,830.80/26,746.20 = 15,643.80/x
  3. Step 3: Cross multiply
    17,830.80x = 26,746.20 × 15,643.80
  4. Step 4: Simplify right side
    17,830.80x = 418,412,203.56
  5. Step 5: Solve for x
    x = 418,412,203.56/17,830.80
  6. Step 6: Final answer
    x = 23,465.70

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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.