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Finding the Fourth Proportional to 17,710.37, 24,440.19 and 9,752.54

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Solution

The fourth proportional to 17,710.37, 24,440.19 and 9,752.54 is: 13,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.37 : 24,440.19 = 9,752.54 : x
  2. Step 2: Convert to fraction form
    17,710.37/24,440.19 = 9,752.54/x
  3. Step 3: Cross multiply
    17,710.37x = 24,440.19 × 9,752.54
  4. Step 4: Simplify right side
    17,710.37x = 238,353,808.38
  5. Step 5: Solve for x
    x = 238,353,808.38/17,710.37
  6. Step 6: Final answer
    x = 13,458.43

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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.