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Finding the Fourth Proportional to 14,105.36, 19,437 and 10,542.80

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Solution

The fourth proportional to 14,105.36, 19,437 and 10,542.80 is: 14,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.36 : 19,437 = 10,542.80 : x
  2. Step 2: Convert to fraction form
    14,105.36/19,437 = 10,542.80/x
  3. Step 3: Cross multiply
    14,105.36x = 19,437 × 10,542.80
  4. Step 4: Simplify right side
    14,105.36x = 204,920,403.60
  5. Step 5: Solve for x
    x = 204,920,403.60/14,105.36
  6. Step 6: Final answer
    x = 14,527.84

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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.