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Finding the Fourth Proportional to 21,050.16, 31,568.32 and 7,006.33

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Solution

The fourth proportional to 21,050.16, 31,568.32 and 7,006.33 is: 10,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050.16 : 31,568.32 = 7,006.33 : x
  2. Step 2: Convert to fraction form
    21,050.16/31,568.32 = 7,006.33/x
  3. Step 3: Cross multiply
    21,050.16x = 31,568.32 × 7,006.33
  4. Step 4: Simplify right side
    21,050.16x = 221,178,067.47
  5. Step 5: Solve for x
    x = 221,178,067.47/21,050.16
  6. Step 6: Final answer
    x = 10,507.19

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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.