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Finding the Fourth Proportional to 21,019.94, 31,536 and 6,229.14

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Solution

The fourth proportional to 21,019.94, 31,536 and 6,229.14 is: 9,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.94 : 31,536 = 6,229.14 : x
  2. Step 2: Convert to fraction form
    21,019.94/31,536 = 6,229.14/x
  3. Step 3: Cross multiply
    21,019.94x = 31,536 × 6,229.14
  4. Step 4: Simplify right side
    21,019.94x = 196,442,159.04
  5. Step 5: Solve for x
    x = 196,442,159.04/21,019.94
  6. Step 6: Final answer
    x = 9,345.51

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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.