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Finding the Fourth Proportional to 17,878.23, 26,788.16 and 9,101.07

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Solution

The fourth proportional to 17,878.23, 26,788.16 and 9,101.07 is: 13,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.23 : 26,788.16 = 9,101.07 : x
  2. Step 2: Convert to fraction form
    17,878.23/26,788.16 = 9,101.07/x
  3. Step 3: Cross multiply
    17,878.23x = 26,788.16 × 9,101.07
  4. Step 4: Simplify right side
    17,878.23x = 243,800,873.83
  5. Step 5: Solve for x
    x = 243,800,873.83/17,878.23
  6. Step 6: Final answer
    x = 13,636.75

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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.