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Finding the Fourth Proportional to 21,304.58, 31,954.71 and 7,452.50

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Solution

The fourth proportional to 21,304.58, 31,954.71 and 7,452.50 is: 11,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304.58 : 31,954.71 = 7,452.50 : x
  2. Step 2: Convert to fraction form
    21,304.58/31,954.71 = 7,452.50/x
  3. Step 3: Cross multiply
    21,304.58x = 31,954.71 × 7,452.50
  4. Step 4: Simplify right side
    21,304.58x = 238,142,476.28
  5. Step 5: Solve for x
    x = 238,142,476.28/21,304.58
  6. Step 6: Final answer
    x = 11,177.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.