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Finding the Fourth Proportional to 17,574, 24,252.88 and 10,122

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Solution

The fourth proportional to 17,574, 24,252.88 and 10,122 is: 13,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574 : 24,252.88 = 10,122 : x
  2. Step 2: Convert to fraction form
    17,574/24,252.88 = 10,122/x
  3. Step 3: Cross multiply
    17,574x = 24,252.88 × 10,122
  4. Step 4: Simplify right side
    17,574x = 245,487,651.36
  5. Step 5: Solve for x
    x = 245,487,651.36/17,574
  6. Step 6: Final answer
    x = 13,968.80

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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.