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Finding the Fourth Proportional to 18,154.32, 27,224.96 and 6,465.21

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Solution

The fourth proportional to 18,154.32, 27,224.96 and 6,465.21 is: 9,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,154.32 : 27,224.96 = 6,465.21 : x
  2. Step 2: Convert to fraction form
    18,154.32/27,224.96 = 6,465.21/x
  3. Step 3: Cross multiply
    18,154.32x = 27,224.96 × 6,465.21
  4. Step 4: Simplify right side
    18,154.32x = 176,015,051.32
  5. Step 5: Solve for x
    x = 176,015,051.32/18,154.32
  6. Step 6: Final answer
    x = 9,695.49

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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.