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Finding the Fourth Proportional to 30,188.74, 45,265.43 and 11,470.16

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Solution

The fourth proportional to 30,188.74, 45,265.43 and 11,470.16 is: 17,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.74 : 45,265.43 = 11,470.16 : x
  2. Step 2: Convert to fraction form
    30,188.74/45,265.43 = 11,470.16/x
  3. Step 3: Cross multiply
    30,188.74x = 45,265.43 × 11,470.16
  4. Step 4: Simplify right side
    30,188.74x = 519,201,755.01
  5. Step 5: Solve for x
    x = 519,201,755.01/30,188.74
  6. Step 6: Final answer
    x = 17,198.52

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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.