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Finding the Fourth Proportional to 21,229.27, 31,848.41 and 7,188.62

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Solution

The fourth proportional to 21,229.27, 31,848.41 and 7,188.62 is: 10,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.27 : 31,848.41 = 7,188.62 : x
  2. Step 2: Convert to fraction form
    21,229.27/31,848.41 = 7,188.62/x
  3. Step 3: Cross multiply
    21,229.27x = 31,848.41 × 7,188.62
  4. Step 4: Simplify right side
    21,229.27x = 228,946,001.53
  5. Step 5: Solve for x
    x = 228,946,001.53/21,229.27
  6. Step 6: Final answer
    x = 10,784.45

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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.