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Finding the Fourth Proportional to 14,130.86, 19,489.73 and 10,352.66

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Solution

The fourth proportional to 14,130.86, 19,489.73 and 10,352.66 is: 14,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.86 : 19,489.73 = 10,352.66 : x
  2. Step 2: Convert to fraction form
    14,130.86/19,489.73 = 10,352.66/x
  3. Step 3: Cross multiply
    14,130.86x = 19,489.73 × 10,352.66
  4. Step 4: Simplify right side
    14,130.86x = 201,770,398.97
  5. Step 5: Solve for x
    x = 201,770,398.97/14,130.86
  6. Step 6: Final answer
    x = 14,278.71

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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.