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Finding the Fourth Proportional to 18,539.77, 25,564.38 and 11,814.74

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Solution

The fourth proportional to 18,539.77, 25,564.38 and 11,814.74 is: 16,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,539.77 : 25,564.38 = 11,814.74 : x
  2. Step 2: Convert to fraction form
    18,539.77/25,564.38 = 11,814.74/x
  3. Step 3: Cross multiply
    18,539.77x = 25,564.38 × 11,814.74
  4. Step 4: Simplify right side
    18,539.77x = 302,036,502.96
  5. Step 5: Solve for x
    x = 302,036,502.96/18,539.77
  6. Step 6: Final answer
    x = 16,291.28

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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.