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Finding the Fourth Proportional to 30,189.63, 45,284.45 and 9,414.75

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Solution

The fourth proportional to 30,189.63, 45,284.45 and 9,414.75 is: 14,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.63 : 45,284.45 = 9,414.75 : x
  2. Step 2: Convert to fraction form
    30,189.63/45,284.45 = 9,414.75/x
  3. Step 3: Cross multiply
    30,189.63x = 45,284.45 × 9,414.75
  4. Step 4: Simplify right side
    30,189.63x = 426,341,728.56
  5. Step 5: Solve for x
    x = 426,341,728.56/30,189.63
  6. Step 6: Final answer
    x = 14,122.13

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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.