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Finding the Fourth Proportional to 21,304.72, 31,957.17 and 6,513.58

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Solution

The fourth proportional to 21,304.72, 31,957.17 and 6,513.58 is: 9,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.72 : 31,957.17 = 6,513.58 : x
  2. Step 2: Convert to fraction form
    21,304.72/31,957.17 = 6,513.58/x
  3. Step 3: Cross multiply
    21,304.72x = 31,957.17 × 6,513.58
  4. Step 4: Simplify right side
    21,304.72x = 208,155,583.37
  5. Step 5: Solve for x
    x = 208,155,583.37/21,304.72
  6. Step 6: Final answer
    x = 9,770.40

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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.