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Finding the Fourth Proportional to 18,577.08, 25,648.38 and 11,511

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Solution

The fourth proportional to 18,577.08, 25,648.38 and 11,511 is: 15,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.08 : 25,648.38 = 11,511 : x
  2. Step 2: Convert to fraction form
    18,577.08/25,648.38 = 11,511/x
  3. Step 3: Cross multiply
    18,577.08x = 25,648.38 × 11,511
  4. Step 4: Simplify right side
    18,577.08x = 295,238,502.18
  5. Step 5: Solve for x
    x = 295,238,502.18/18,577.08
  6. Step 6: Final answer
    x = 15,892.62

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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.