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Finding the Fourth Proportional to 13,156.88, 18,155.96 and 7,782.80

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Solution

The fourth proportional to 13,156.88, 18,155.96 and 7,782.80 is: 10,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.88 : 18,155.96 = 7,782.80 : x
  2. Step 2: Convert to fraction form
    13,156.88/18,155.96 = 7,782.80/x
  3. Step 3: Cross multiply
    13,156.88x = 18,155.96 × 7,782.80
  4. Step 4: Simplify right side
    13,156.88x = 141,304,075.79
  5. Step 5: Solve for x
    x = 141,304,075.79/13,156.88
  6. Step 6: Final answer
    x = 10,739.94

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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.