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Finding the Fourth Proportional to 17,806.42, 24,548.81 and 11,421.93

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Solution

The fourth proportional to 17,806.42, 24,548.81 and 11,421.93 is: 15,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.42 : 24,548.81 = 11,421.93 : x
  2. Step 2: Convert to fraction form
    17,806.42/24,548.81 = 11,421.93/x
  3. Step 3: Cross multiply
    17,806.42x = 24,548.81 × 11,421.93
  4. Step 4: Simplify right side
    17,806.42x = 280,394,756.59
  5. Step 5: Solve for x
    x = 280,394,756.59/17,806.42
  6. Step 6: Final answer
    x = 15,746.83

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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.