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Finding the Fourth Proportional to 17,895.40, 26,842.14 and 9,129.96

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Solution

The fourth proportional to 17,895.40, 26,842.14 and 9,129.96 is: 13,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895.40 : 26,842.14 = 9,129.96 : x
  2. Step 2: Convert to fraction form
    17,895.40/26,842.14 = 9,129.96/x
  3. Step 3: Cross multiply
    17,895.40x = 26,842.14 × 9,129.96
  4. Step 4: Simplify right side
    17,895.40x = 245,067,664.51
  5. Step 5: Solve for x
    x = 245,067,664.51/17,895.40
  6. Step 6: Final answer
    x = 13,694.45

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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.