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Finding the Fourth Proportional to 21,072, 31,613.88 and 6,281.40

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Solution

The fourth proportional to 21,072, 31,613.88 and 6,281.40 is: 9,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 31,613.88 = 6,281.40 : x
  2. Step 2: Convert to fraction form
    21,072/31,613.88 = 6,281.40/x
  3. Step 3: Cross multiply
    21,072x = 31,613.88 × 6,281.40
  4. Step 4: Simplify right side
    21,072x = 198,579,425.83
  5. Step 5: Solve for x
    x = 198,579,425.83/21,072
  6. Step 6: Final answer
    x = 9,423.85

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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.