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Finding the Fourth Proportional to 17,206.38, 23,752.08 and 10,494.41

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Solution

The fourth proportional to 17,206.38, 23,752.08 and 10,494.41 is: 14,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.38 : 23,752.08 = 10,494.41 : x
  2. Step 2: Convert to fraction form
    17,206.38/23,752.08 = 10,494.41/x
  3. Step 3: Cross multiply
    17,206.38x = 23,752.08 × 10,494.41
  4. Step 4: Simplify right side
    17,206.38x = 249,264,065.87
  5. Step 5: Solve for x
    x = 249,264,065.87/17,206.38
  6. Step 6: Final answer
    x = 14,486.72

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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.