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Finding the Fourth Proportional to 21,009.11, 31,511.16 and 7,857.95

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Solution

The fourth proportional to 21,009.11, 31,511.16 and 7,857.95 is: 11,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.11 : 31,511.16 = 7,857.95 : x
  2. Step 2: Convert to fraction form
    21,009.11/31,511.16 = 7,857.95/x
  3. Step 3: Cross multiply
    21,009.11x = 31,511.16 × 7,857.95
  4. Step 4: Simplify right side
    21,009.11x = 247,612,962.17
  5. Step 5: Solve for x
    x = 247,612,962.17/21,009.11
  6. Step 6: Final answer
    x = 11,785.98

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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.