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Finding the Fourth Proportional to 21,022.71, 31,526.18 and 6,980.14

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Solution

The fourth proportional to 21,022.71, 31,526.18 and 6,980.14 is: 10,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.71 : 31,526.18 = 6,980.14 : x
  2. Step 2: Convert to fraction form
    21,022.71/31,526.18 = 6,980.14/x
  3. Step 3: Cross multiply
    21,022.71x = 31,526.18 × 6,980.14
  4. Step 4: Simplify right side
    21,022.71x = 220,057,150.07
  5. Step 5: Solve for x
    x = 220,057,150.07/21,022.71
  6. Step 6: Final answer
    x = 10,467.59

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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.