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Finding the Fourth Proportional to 21,152.77, 31,731.95 and 7,823.95

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Solution

The fourth proportional to 21,152.77, 31,731.95 and 7,823.95 is: 11,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.77 : 31,731.95 = 7,823.95 : x
  2. Step 2: Convert to fraction form
    21,152.77/31,731.95 = 7,823.95/x
  3. Step 3: Cross multiply
    21,152.77x = 31,731.95 × 7,823.95
  4. Step 4: Simplify right side
    21,152.77x = 248,269,190.20
  5. Step 5: Solve for x
    x = 248,269,190.20/21,152.77
  6. Step 6: Final answer
    x = 11,736.96

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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.