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Finding the Fourth Proportional to 24,384.80, 36,577.20 and 9,588.80

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Solution

The fourth proportional to 24,384.80, 36,577.20 and 9,588.80 is: 14,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.80 : 36,577.20 = 9,588.80 : x
  2. Step 2: Convert to fraction form
    24,384.80/36,577.20 = 9,588.80/x
  3. Step 3: Cross multiply
    24,384.80x = 36,577.20 × 9,588.80
  4. Step 4: Simplify right side
    24,384.80x = 350,731,455.36
  5. Step 5: Solve for x
    x = 350,731,455.36/24,384.80
  6. Step 6: Final answer
    x = 14,383.20

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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.