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Finding the Fourth Proportional to 18,594, 27,892.60 and 4,742.96

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Solution

The fourth proportional to 18,594, 27,892.60 and 4,742.96 is: 7,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 27,892.60 = 4,742.96 : x
  2. Step 2: Convert to fraction form
    18,594/27,892.60 = 4,742.96/x
  3. Step 3: Cross multiply
    18,594x = 27,892.60 × 4,742.96
  4. Step 4: Simplify right side
    18,594x = 132,293,486.10
  5. Step 5: Solve for x
    x = 132,293,486.10/18,594
  6. Step 6: Final answer
    x = 7,114.85

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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.