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Finding the Fourth Proportional to 26,030.67, 35,922.27 and 14,094

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Solution

The fourth proportional to 26,030.67, 35,922.27 and 14,094 is: 19,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,030.67 : 35,922.27 = 14,094 : x
  2. Step 2: Convert to fraction form
    26,030.67/35,922.27 = 14,094/x
  3. Step 3: Cross multiply
    26,030.67x = 35,922.27 × 14,094
  4. Step 4: Simplify right side
    26,030.67x = 506,288,473.38
  5. Step 5: Solve for x
    x = 506,288,473.38/26,030.67
  6. Step 6: Final answer
    x = 19,449.69

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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.