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Finding the Fourth Proportional to 14,138.96, 19,480.70 and 10,538.61

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Solution

The fourth proportional to 14,138.96, 19,480.70 and 10,538.61 is: 14,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.96 : 19,480.70 = 10,538.61 : x
  2. Step 2: Convert to fraction form
    14,138.96/19,480.70 = 10,538.61/x
  3. Step 3: Cross multiply
    14,138.96x = 19,480.70 × 10,538.61
  4. Step 4: Simplify right side
    14,138.96x = 205,299,453.12
  5. Step 5: Solve for x
    x = 205,299,453.12/14,138.96
  6. Step 6: Final answer
    x = 14,520.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.