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Finding the Fourth Proportional to 16,782.76, 23,157.64 and 9,707.82

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Solution

The fourth proportional to 16,782.76, 23,157.64 and 9,707.82 is: 13,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.76 : 23,157.64 = 9,707.82 : x
  2. Step 2: Convert to fraction form
    16,782.76/23,157.64 = 9,707.82/x
  3. Step 3: Cross multiply
    16,782.76x = 23,157.64 × 9,707.82
  4. Step 4: Simplify right side
    16,782.76x = 224,810,200.74
  5. Step 5: Solve for x
    x = 224,810,200.74/16,782.76
  6. Step 6: Final answer
    x = 13,395.31

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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.