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Finding the Fourth Proportional to 17,409.14, 24,027.57 and 10,339.38

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Solution

The fourth proportional to 17,409.14, 24,027.57 and 10,339.38 is: 14,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.14 : 24,027.57 = 10,339.38 : x
  2. Step 2: Convert to fraction form
    17,409.14/24,027.57 = 10,339.38/x
  3. Step 3: Cross multiply
    17,409.14x = 24,027.57 × 10,339.38
  4. Step 4: Simplify right side
    17,409.14x = 248,430,176.71
  5. Step 5: Solve for x
    x = 248,430,176.71/17,409.14
  6. Step 6: Final answer
    x = 14,270.10

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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.