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Finding the Fourth Proportional to 26,033.84, 35,926.64 and 14,097.28

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Solution

The fourth proportional to 26,033.84, 35,926.64 and 14,097.28 is: 19,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,033.84 : 35,926.64 = 14,097.28 : x
  2. Step 2: Convert to fraction form
    26,033.84/35,926.64 = 14,097.28/x
  3. Step 3: Cross multiply
    26,033.84x = 35,926.64 × 14,097.28
  4. Step 4: Simplify right side
    26,033.84x = 506,467,723.91
  5. Step 5: Solve for x
    x = 506,467,723.91/26,033.84
  6. Step 6: Final answer
    x = 19,454.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.