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Finding the Fourth Proportional to 26,038.87, 35,933.58 and 14,102.17

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Solution

The fourth proportional to 26,038.87, 35,933.58 and 14,102.17 is: 19,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,038.87 : 35,933.58 = 14,102.17 : x
  2. Step 2: Convert to fraction form
    26,038.87/35,933.58 = 14,102.17/x
  3. Step 3: Cross multiply
    26,038.87x = 35,933.58 × 14,102.17
  4. Step 4: Simplify right side
    26,038.87x = 506,741,453.87
  5. Step 5: Solve for x
    x = 506,741,453.87/26,038.87
  6. Step 6: Final answer
    x = 19,460.96

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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.