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Finding the Fourth Proportional to 17,421.39, 24,041.25 and 9,463.50

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Solution

The fourth proportional to 17,421.39, 24,041.25 and 9,463.50 is: 13,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,421.39 : 24,041.25 = 9,463.50 : x
  2. Step 2: Convert to fraction form
    17,421.39/24,041.25 = 9,463.50/x
  3. Step 3: Cross multiply
    17,421.39x = 24,041.25 × 9,463.50
  4. Step 4: Simplify right side
    17,421.39x = 227,514,369.38
  5. Step 5: Solve for x
    x = 227,514,369.38/17,421.39
  6. Step 6: Final answer
    x = 13,059.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.