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Finding the Fourth Proportional to 17,701.79, 24,428.46 and 9,744.01

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Solution

The fourth proportional to 17,701.79, 24,428.46 and 9,744.01 is: 13,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.79 : 24,428.46 = 9,744.01 : x
  2. Step 2: Convert to fraction form
    17,701.79/24,428.46 = 9,744.01/x
  3. Step 3: Cross multiply
    17,701.79x = 24,428.46 × 9,744.01
  4. Step 4: Simplify right side
    17,701.79x = 238,031,097.45
  5. Step 5: Solve for x
    x = 238,031,097.45/17,701.79
  6. Step 6: Final answer
    x = 13,446.73

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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.