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Finding the Fourth Proportional to 17,492, 24,138.67 and 9,534.29

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Solution

The fourth proportional to 17,492, 24,138.67 and 9,534.29 is: 13,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492 : 24,138.67 = 9,534.29 : x
  2. Step 2: Convert to fraction form
    17,492/24,138.67 = 9,534.29/x
  3. Step 3: Cross multiply
    17,492x = 24,138.67 × 9,534.29
  4. Step 4: Simplify right side
    17,492x = 230,145,079.99
  5. Step 5: Solve for x
    x = 230,145,079.99/17,492
  6. Step 6: Final answer
    x = 13,157.16

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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.