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Finding the Fourth Proportional to 14,282.42, 19,707.78 and 8,309.48

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Solution

The fourth proportional to 14,282.42, 19,707.78 and 8,309.48 is: 11,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.42 : 19,707.78 = 8,309.48 : x
  2. Step 2: Convert to fraction form
    14,282.42/19,707.78 = 8,309.48/x
  3. Step 3: Cross multiply
    14,282.42x = 19,707.78 × 8,309.48
  4. Step 4: Simplify right side
    14,282.42x = 163,761,403.75
  5. Step 5: Solve for x
    x = 163,761,403.75/14,282.42
  6. Step 6: Final answer
    x = 11,465.94

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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.