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Finding the Fourth Proportional to 18,437.40, 27,646.38 and 8,037

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Solution

The fourth proportional to 18,437.40, 27,646.38 and 8,037 is: 12,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,437.40 : 27,646.38 = 8,037 : x
  2. Step 2: Convert to fraction form
    18,437.40/27,646.38 = 8,037/x
  3. Step 3: Cross multiply
    18,437.40x = 27,646.38 × 8,037
  4. Step 4: Simplify right side
    18,437.40x = 222,193,956.06
  5. Step 5: Solve for x
    x = 222,193,956.06/18,437.40
  6. Step 6: Final answer
    x = 12,051.26

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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.