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Finding the Fourth Proportional to 16,499.50, 22,769.40 and 9,788.50

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Solution

The fourth proportional to 16,499.50, 22,769.40 and 9,788.50 is: 13,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.50 : 22,769.40 = 9,788.50 : x
  2. Step 2: Convert to fraction form
    16,499.50/22,769.40 = 9,788.50/x
  3. Step 3: Cross multiply
    16,499.50x = 22,769.40 × 9,788.50
  4. Step 4: Simplify right side
    16,499.50x = 222,878,271.90
  5. Step 5: Solve for x
    x = 222,878,271.90/16,499.50
  6. Step 6: Final answer
    x = 13,508.18

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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.