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Finding the Fourth Proportional to 14,707.52, 20,295.78 and 7,993

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Solution

The fourth proportional to 14,707.52, 20,295.78 and 7,993 is: 11,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.52 : 20,295.78 = 7,993 : x
  2. Step 2: Convert to fraction form
    14,707.52/20,295.78 = 7,993/x
  3. Step 3: Cross multiply
    14,707.52x = 20,295.78 × 7,993
  4. Step 4: Simplify right side
    14,707.52x = 162,224,169.54
  5. Step 5: Solve for x
    x = 162,224,169.54/14,707.52
  6. Step 6: Final answer
    x = 11,030.02

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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.