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Finding the Fourth Proportional to 21,005.22, 31,512.54 and 7,857.71

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Solution

The fourth proportional to 21,005.22, 31,512.54 and 7,857.71 is: 11,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.22 : 31,512.54 = 7,857.71 : x
  2. Step 2: Convert to fraction form
    21,005.22/31,512.54 = 7,857.71/x
  3. Step 3: Cross multiply
    21,005.22x = 31,512.54 × 7,857.71
  4. Step 4: Simplify right side
    21,005.22x = 247,616,390.76
  5. Step 5: Solve for x
    x = 247,616,390.76/21,005.22
  6. Step 6: Final answer
    x = 11,788.32

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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.