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Finding the Fourth Proportional to 22,045.66, 33,075.32 and 6,463.28

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Solution

The fourth proportional to 22,045.66, 33,075.32 and 6,463.28 is: 9,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.66 : 33,075.32 = 6,463.28 : x
  2. Step 2: Convert to fraction form
    22,045.66/33,075.32 = 6,463.28/x
  3. Step 3: Cross multiply
    22,045.66x = 33,075.32 × 6,463.28
  4. Step 4: Simplify right side
    22,045.66x = 213,775,054.25
  5. Step 5: Solve for x
    x = 213,775,054.25/22,045.66
  6. Step 6: Final answer
    x = 9,696.92

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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.