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Finding the Fourth Proportional to 14,744.68, 20,347.78 and 8,030.33

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Solution

The fourth proportional to 14,744.68, 20,347.78 and 8,030.33 is: 11,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.68 : 20,347.78 = 8,030.33 : x
  2. Step 2: Convert to fraction form
    14,744.68/20,347.78 = 8,030.33/x
  3. Step 3: Cross multiply
    14,744.68x = 20,347.78 × 8,030.33
  4. Step 4: Simplify right side
    14,744.68x = 163,399,388.17
  5. Step 5: Solve for x
    x = 163,399,388.17/14,744.68
  6. Step 6: Final answer
    x = 11,081.92

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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.