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Finding the Fourth Proportional to 18,496, 27,741.96 and 4,645

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Solution

The fourth proportional to 18,496, 27,741.96 and 4,645 is: 6,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 27,741.96 = 4,645 : x
  2. Step 2: Convert to fraction form
    18,496/27,741.96 = 4,645/x
  3. Step 3: Cross multiply
    18,496x = 27,741.96 × 4,645
  4. Step 4: Simplify right side
    18,496x = 128,861,404.20
  5. Step 5: Solve for x
    x = 128,861,404.20/18,496
  6. Step 6: Final answer
    x = 6,966.99

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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.