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Finding the Fourth Proportional to 14,707.71, 20,296.77 and 7,993.34

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Solution

The fourth proportional to 14,707.71, 20,296.77 and 7,993.34 is: 11,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.71 : 20,296.77 = 7,993.34 : x
  2. Step 2: Convert to fraction form
    14,707.71/20,296.77 = 7,993.34/x
  3. Step 3: Cross multiply
    14,707.71x = 20,296.77 × 7,993.34
  4. Step 4: Simplify right side
    14,707.71x = 162,238,983.51
  5. Step 5: Solve for x
    x = 162,238,983.51/14,707.71
  6. Step 6: Final answer
    x = 11,030.88

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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.