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Finding the Fourth Proportional to 36,480.14, 54,716.11 and 9,828.10

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Solution

The fourth proportional to 36,480.14, 54,716.11 and 9,828.10 is: 14,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480.14 : 54,716.11 = 9,828.10 : x
  2. Step 2: Convert to fraction form
    36,480.14/54,716.11 = 9,828.10/x
  3. Step 3: Cross multiply
    36,480.14x = 54,716.11 × 9,828.10
  4. Step 4: Simplify right side
    36,480.14x = 537,755,472.16
  5. Step 5: Solve for x
    x = 537,755,472.16/36,480.14
  6. Step 6: Final answer
    x = 14,741.05

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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.