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Finding the Fourth Proportional to 17,523, 24,182.28 and 10,071

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Solution

The fourth proportional to 17,523, 24,182.28 and 10,071 is: 13,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 24,182.28 = 10,071 : x
  2. Step 2: Convert to fraction form
    17,523/24,182.28 = 10,071/x
  3. Step 3: Cross multiply
    17,523x = 24,182.28 × 10,071
  4. Step 4: Simplify right side
    17,523x = 243,539,741.88
  5. Step 5: Solve for x
    x = 243,539,741.88/17,523
  6. Step 6: Final answer
    x = 13,898.29

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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.