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Finding the Fourth Proportional to 17,453.76, 24,085.76 and 9,496

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Solution

The fourth proportional to 17,453.76, 24,085.76 and 9,496 is: 13,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,453.76 : 24,085.76 = 9,496 : x
  2. Step 2: Convert to fraction form
    17,453.76/24,085.76 = 9,496/x
  3. Step 3: Cross multiply
    17,453.76x = 24,085.76 × 9,496
  4. Step 4: Simplify right side
    17,453.76x = 228,718,376.96
  5. Step 5: Solve for x
    x = 228,718,376.96/17,453.76
  6. Step 6: Final answer
    x = 13,104.25

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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.