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Finding the Fourth Proportional to 21,255.02, 31,886 and 6,460.48

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Solution

The fourth proportional to 21,255.02, 31,886 and 6,460.48 is: 9,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.02 : 31,886 = 6,460.48 : x
  2. Step 2: Convert to fraction form
    21,255.02/31,886 = 6,460.48/x
  3. Step 3: Cross multiply
    21,255.02x = 31,886 × 6,460.48
  4. Step 4: Simplify right side
    21,255.02x = 205,998,865.28
  5. Step 5: Solve for x
    x = 205,998,865.28/21,255.02
  6. Step 6: Final answer
    x = 9,691.77

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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.