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Finding the Fourth Proportional to 21,866.24, 32,799.60 and 6,284

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Solution

The fourth proportional to 21,866.24, 32,799.60 and 6,284 is: 9,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.24 : 32,799.60 = 6,284 : x
  2. Step 2: Convert to fraction form
    21,866.24/32,799.60 = 6,284/x
  3. Step 3: Cross multiply
    21,866.24x = 32,799.60 × 6,284
  4. Step 4: Simplify right side
    21,866.24x = 206,112,686.40
  5. Step 5: Solve for x
    x = 206,112,686.40/21,866.24
  6. Step 6: Final answer
    x = 9,426.07

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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.