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Finding the Fourth Proportional to 21,002.01, 31,503.62 and 7,851.86

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Solution

The fourth proportional to 21,002.01, 31,503.62 and 7,851.86 is: 11,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.01 : 31,503.62 = 7,851.86 : x
  2. Step 2: Convert to fraction form
    21,002.01/31,503.62 = 7,851.86/x
  3. Step 3: Cross multiply
    21,002.01x = 31,503.62 × 7,851.86
  4. Step 4: Simplify right side
    21,002.01x = 247,362,013.73
  5. Step 5: Solve for x
    x = 247,362,013.73/21,002.01
  6. Step 6: Final answer
    x = 11,778.02

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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.