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Finding the Fourth Proportional to 17,031.70, 23,503.53 and 9,478

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Solution

The fourth proportional to 17,031.70, 23,503.53 and 9,478 is: 13,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.70 : 23,503.53 = 9,478 : x
  2. Step 2: Convert to fraction form
    17,031.70/23,503.53 = 9,478/x
  3. Step 3: Cross multiply
    17,031.70x = 23,503.53 × 9,478
  4. Step 4: Simplify right side
    17,031.70x = 222,766,457.34
  5. Step 5: Solve for x
    x = 222,766,457.34/17,031.70
  6. Step 6: Final answer
    x = 13,079.52

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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.