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Finding the Fourth Proportional to 21,019.90, 31,519.52 and 6,975.16

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Solution

The fourth proportional to 21,019.90, 31,519.52 and 6,975.16 is: 10,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.90 : 31,519.52 = 6,975.16 : x
  2. Step 2: Convert to fraction form
    21,019.90/31,519.52 = 6,975.16/x
  3. Step 3: Cross multiply
    21,019.90x = 31,519.52 × 6,975.16
  4. Step 4: Simplify right side
    21,019.90x = 219,853,695.12
  5. Step 5: Solve for x
    x = 219,853,695.12/21,019.90
  6. Step 6: Final answer
    x = 10,459.31

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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.