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Finding the Fourth Proportional to 17,814.50, 24,583.80 and 9,748.08

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Solution

The fourth proportional to 17,814.50, 24,583.80 and 9,748.08 is: 13,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.50 : 24,583.80 = 9,748.08 : x
  2. Step 2: Convert to fraction form
    17,814.50/24,583.80 = 9,748.08/x
  3. Step 3: Cross multiply
    17,814.50x = 24,583.80 × 9,748.08
  4. Step 4: Simplify right side
    17,814.50x = 239,644,849.10
  5. Step 5: Solve for x
    x = 239,644,849.10/17,814.50
  6. Step 6: Final answer
    x = 13,452.24

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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.