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Finding the Fourth Proportional to 22,075.16, 33,096.54 and 10,382

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Solution

The fourth proportional to 22,075.16, 33,096.54 and 10,382 is: 15,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.16 : 33,096.54 = 10,382 : x
  2. Step 2: Convert to fraction form
    22,075.16/33,096.54 = 10,382/x
  3. Step 3: Cross multiply
    22,075.16x = 33,096.54 × 10,382
  4. Step 4: Simplify right side
    22,075.16x = 343,608,278.28
  5. Step 5: Solve for x
    x = 343,608,278.28/22,075.16
  6. Step 6: Final answer
    x = 15,565.38

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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.