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Finding the Fourth Proportional to 16,549.60, 24,802.80 and 7,663.90

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Solution

The fourth proportional to 16,549.60, 24,802.80 and 7,663.90 is: 11,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.60 : 24,802.80 = 7,663.90 : x
  2. Step 2: Convert to fraction form
    16,549.60/24,802.80 = 7,663.90/x
  3. Step 3: Cross multiply
    16,549.60x = 24,802.80 × 7,663.90
  4. Step 4: Simplify right side
    16,549.60x = 190,086,178.92
  5. Step 5: Solve for x
    x = 190,086,178.92/16,549.60
  6. Step 6: Final answer
    x = 11,485.85

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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.