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Finding the Fourth Proportional to 21,124.84, 31,689.18 and 6,333.16

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Solution

The fourth proportional to 21,124.84, 31,689.18 and 6,333.16 is: 9,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.84 : 31,689.18 = 6,333.16 : x
  2. Step 2: Convert to fraction form
    21,124.84/31,689.18 = 6,333.16/x
  3. Step 3: Cross multiply
    21,124.84x = 31,689.18 × 6,333.16
  4. Step 4: Simplify right side
    21,124.84x = 200,692,647.21
  5. Step 5: Solve for x
    x = 200,692,647.21/21,124.84
  6. Step 6: Final answer
    x = 9,500.32

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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.