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Finding the Fourth Proportional to 16,783.77, 23,159.01 and 9,708.82

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Solution

The fourth proportional to 16,783.77, 23,159.01 and 9,708.82 is: 13,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.77 : 23,159.01 = 9,708.82 : x
  2. Step 2: Convert to fraction form
    16,783.77/23,159.01 = 9,708.82/x
  3. Step 3: Cross multiply
    16,783.77x = 23,159.01 × 9,708.82
  4. Step 4: Simplify right side
    16,783.77x = 224,846,659.47
  5. Step 5: Solve for x
    x = 224,846,659.47/16,783.77
  6. Step 6: Final answer
    x = 13,396.67

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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.