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Finding the Fourth Proportional to 14,293.86, 19,730.97 and 10,107.78

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Solution

The fourth proportional to 14,293.86, 19,730.97 and 10,107.78 is: 13,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.86 : 19,730.97 = 10,107.78 : x
  2. Step 2: Convert to fraction form
    14,293.86/19,730.97 = 10,107.78/x
  3. Step 3: Cross multiply
    14,293.86x = 19,730.97 × 10,107.78
  4. Step 4: Simplify right side
    14,293.86x = 199,436,303.95
  5. Step 5: Solve for x
    x = 199,436,303.95/14,293.86
  6. Step 6: Final answer
    x = 13,952.59

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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.