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Finding the Fourth Proportional to 21,371.87, 32,064.83 and 10,277.13

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Solution

The fourth proportional to 21,371.87, 32,064.83 and 10,277.13 is: 15,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,371.87 : 32,064.83 = 10,277.13 : x
  2. Step 2: Convert to fraction form
    21,371.87/32,064.83 = 10,277.13/x
  3. Step 3: Cross multiply
    21,371.87x = 32,064.83 × 10,277.13
  4. Step 4: Simplify right side
    21,371.87x = 329,534,374.95
  5. Step 5: Solve for x
    x = 329,534,374.95/21,371.87
  6. Step 6: Final answer
    x = 15,419.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.