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Finding the Fourth Proportional to 21,382.74, 32,075.28 and 9,696.84

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Solution

The fourth proportional to 21,382.74, 32,075.28 and 9,696.84 is: 14,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.74 : 32,075.28 = 9,696.84 : x
  2. Step 2: Convert to fraction form
    21,382.74/32,075.28 = 9,696.84/x
  3. Step 3: Cross multiply
    21,382.74x = 32,075.28 × 9,696.84
  4. Step 4: Simplify right side
    21,382.74x = 311,028,858.12
  5. Step 5: Solve for x
    x = 311,028,858.12/21,382.74
  6. Step 6: Final answer
    x = 14,545.79

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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.