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Finding the Fourth Proportional to 21,124.17, 31,682.20 and 6,333.08

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Solution

The fourth proportional to 21,124.17, 31,682.20 and 6,333.08 is: 9,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.17 : 31,682.20 = 6,333.08 : x
  2. Step 2: Convert to fraction form
    21,124.17/31,682.20 = 6,333.08/x
  3. Step 3: Cross multiply
    21,124.17x = 31,682.20 × 6,333.08
  4. Step 4: Simplify right side
    21,124.17x = 200,645,907.18
  5. Step 5: Solve for x
    x = 200,645,907.18/21,124.17
  6. Step 6: Final answer
    x = 9,498.40

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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.