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Finding the Fourth Proportional to 26,036.29, 35,930.09 and 14,099.64

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Solution

The fourth proportional to 26,036.29, 35,930.09 and 14,099.64 is: 19,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,036.29 : 35,930.09 = 14,099.64 : x
  2. Step 2: Convert to fraction form
    26,036.29/35,930.09 = 14,099.64/x
  3. Step 3: Cross multiply
    26,036.29x = 35,930.09 × 14,099.64
  4. Step 4: Simplify right side
    26,036.29x = 506,601,334.17
  5. Step 5: Solve for x
    x = 506,601,334.17/26,036.29
  6. Step 6: Final answer
    x = 19,457.51

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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.