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Finding the Fourth Proportional to 17,484, 26,219.82 and 5,637.30

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Solution

The fourth proportional to 17,484, 26,219.82 and 5,637.30 is: 8,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484 : 26,219.82 = 5,637.30 : x
  2. Step 2: Convert to fraction form
    17,484/26,219.82 = 5,637.30/x
  3. Step 3: Cross multiply
    17,484x = 26,219.82 × 5,637.30
  4. Step 4: Simplify right side
    17,484x = 147,808,991.29
  5. Step 5: Solve for x
    x = 147,808,991.29/17,484
  6. Step 6: Final answer
    x = 8,453.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.