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Finding the Fourth Proportional to 21,304.92, 31,957.35 and 6,513.84

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Solution

The fourth proportional to 21,304.92, 31,957.35 and 6,513.84 is: 9,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.92 : 31,957.35 = 6,513.84 : x
  2. Step 2: Convert to fraction form
    21,304.92/31,957.35 = 6,513.84/x
  3. Step 3: Cross multiply
    21,304.92x = 31,957.35 × 6,513.84
  4. Step 4: Simplify right side
    21,304.92x = 208,165,064.72
  5. Step 5: Solve for x
    x = 208,165,064.72/21,304.92
  6. Step 6: Final answer
    x = 9,770.75

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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.