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Finding the Fourth Proportional to 17,462.27, 24,106.05 and 10,289.93

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Solution

The fourth proportional to 17,462.27, 24,106.05 and 10,289.93 is: 14,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.27 : 24,106.05 = 10,289.93 : x
  2. Step 2: Convert to fraction form
    17,462.27/24,106.05 = 10,289.93/x
  3. Step 3: Cross multiply
    17,462.27x = 24,106.05 × 10,289.93
  4. Step 4: Simplify right side
    17,462.27x = 248,049,446.55
  5. Step 5: Solve for x
    x = 248,049,446.55/17,462.27
  6. Step 6: Final answer
    x = 14,204.88

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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.