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Finding the Fourth Proportional to 17,496, 24,144.48 and 10,044.48

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Solution

The fourth proportional to 17,496, 24,144.48 and 10,044.48 is: 13,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496 : 24,144.48 = 10,044.48 : x
  2. Step 2: Convert to fraction form
    17,496/24,144.48 = 10,044.48/x
  3. Step 3: Cross multiply
    17,496x = 24,144.48 × 10,044.48
  4. Step 4: Simplify right side
    17,496x = 242,518,746.47
  5. Step 5: Solve for x
    x = 242,518,746.47/17,496
  6. Step 6: Final answer
    x = 13,861.38

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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.