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Finding the Fourth Proportional to 13,157.88, 18,157.34 and 7,783.80

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Solution

The fourth proportional to 13,157.88, 18,157.34 and 7,783.80 is: 10,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.88 : 18,157.34 = 7,783.80 : x
  2. Step 2: Convert to fraction form
    13,157.88/18,157.34 = 7,783.80/x
  3. Step 3: Cross multiply
    13,157.88x = 18,157.34 × 7,783.80
  4. Step 4: Simplify right side
    13,157.88x = 141,332,973.39
  5. Step 5: Solve for x
    x = 141,332,973.39/13,157.88
  6. Step 6: Final answer
    x = 10,741.32

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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.