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Finding the Fourth Proportional to 26,030.77, 35,922.40 and 14,094.09

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Solution

The fourth proportional to 26,030.77, 35,922.40 and 14,094.09 is: 19,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,030.77 : 35,922.40 = 14,094.09 : x
  2. Step 2: Convert to fraction form
    26,030.77/35,922.40 = 14,094.09/x
  3. Step 3: Cross multiply
    26,030.77x = 35,922.40 × 14,094.09
  4. Step 4: Simplify right side
    26,030.77x = 506,293,503.38
  5. Step 5: Solve for x
    x = 506,293,503.38/26,030.77
  6. Step 6: Final answer
    x = 19,449.81

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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.