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Finding the Fourth Proportional to 21,304.47, 31,956.80 and 6,513.33

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Solution

The fourth proportional to 21,304.47, 31,956.80 and 6,513.33 is: 9,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.47 : 31,956.80 = 6,513.33 : x
  2. Step 2: Convert to fraction form
    21,304.47/31,956.80 = 6,513.33/x
  3. Step 3: Cross multiply
    21,304.47x = 31,956.80 × 6,513.33
  4. Step 4: Simplify right side
    21,304.47x = 208,145,151.58
  5. Step 5: Solve for x
    x = 208,145,151.58/21,304.47
  6. Step 6: Final answer
    x = 9,770.02

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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.