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Finding the Fourth Proportional to 17,726.60, 26,590.86 and 12,782.60

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Solution

The fourth proportional to 17,726.60, 26,590.86 and 12,782.60 is: 19,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.60 : 26,590.86 = 12,782.60 : x
  2. Step 2: Convert to fraction form
    17,726.60/26,590.86 = 12,782.60/x
  3. Step 3: Cross multiply
    17,726.60x = 26,590.86 × 12,782.60
  4. Step 4: Simplify right side
    17,726.60x = 339,900,327.04
  5. Step 5: Solve for x
    x = 339,900,327.04/17,726.60
  6. Step 6: Final answer
    x = 19,174.59

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1.5x scale

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.