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Finding the Fourth Proportional to 20,430.14, 30,645.95 and 5,640.17

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Solution

The fourth proportional to 20,430.14, 30,645.95 and 5,640.17 is: 8,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.14 : 30,645.95 = 5,640.17 : x
  2. Step 2: Convert to fraction form
    20,430.14/30,645.95 = 5,640.17/x
  3. Step 3: Cross multiply
    20,430.14x = 30,645.95 × 5,640.17
  4. Step 4: Simplify right side
    20,430.14x = 172,848,186.38
  5. Step 5: Solve for x
    x = 172,848,186.38/20,430.14
  6. Step 6: Final answer
    x = 8,460.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.