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Finding the Fourth Proportional to 15,824.00, 21,839.33 and 9,109.46

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Solution

The fourth proportional to 15,824.00, 21,839.33 and 9,109.46 is: 12,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.00 : 21,839.33 = 9,109.46 : x
  2. Step 2: Convert to fraction form
    15,824.00/21,839.33 = 9,109.46/x
  3. Step 3: Cross multiply
    15,824.00x = 21,839.33 × 9,109.46
  4. Step 4: Simplify right side
    15,824.00x = 198,944,580.43
  5. Step 5: Solve for x
    x = 198,944,580.43/15,824.00
  6. Step 6: Final answer
    x = 12,572.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.