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Finding the Fourth Proportional to 26,074.98, 35,983.31 and 14,138.28

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Solution

The fourth proportional to 26,074.98, 35,983.31 and 14,138.28 is: 19,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074.98 : 35,983.31 = 14,138.28 : x
  2. Step 2: Convert to fraction form
    26,074.98/35,983.31 = 14,138.28/x
  3. Step 3: Cross multiply
    26,074.98x = 35,983.31 × 14,138.28
  4. Step 4: Simplify right side
    26,074.98x = 508,742,041.42
  5. Step 5: Solve for x
    x = 508,742,041.42/26,074.98
  6. Step 6: Final answer
    x = 19,510.74

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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.