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Finding the Fourth Proportional to 17,668, 24,386.24 and 10,220.32

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Solution

The fourth proportional to 17,668, 24,386.24 and 10,220.32 is: 14,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668 : 24,386.24 = 10,220.32 : x
  2. Step 2: Convert to fraction form
    17,668/24,386.24 = 10,220.32/x
  3. Step 3: Cross multiply
    17,668x = 24,386.24 × 10,220.32
  4. Step 4: Simplify right side
    17,668x = 249,235,176.40
  5. Step 5: Solve for x
    x = 249,235,176.40/17,668
  6. Step 6: Final answer
    x = 14,106.59

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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.