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Finding the Fourth Proportional to 15,778.80, 21,777.12 and 9,492.48

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Solution

The fourth proportional to 15,778.80, 21,777.12 and 9,492.48 is: 13,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.80 : 21,777.12 = 9,492.48 : x
  2. Step 2: Convert to fraction form
    15,778.80/21,777.12 = 9,492.48/x
  3. Step 3: Cross multiply
    15,778.80x = 21,777.12 × 9,492.48
  4. Step 4: Simplify right side
    15,778.80x = 206,718,876.06
  5. Step 5: Solve for x
    x = 206,718,876.06/15,778.80
  6. Step 6: Final answer
    x = 13,101.05

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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.