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Finding the Fourth Proportional to 12,126.56, 16,732.14 and 7,089.80

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Solution

The fourth proportional to 12,126.56, 16,732.14 and 7,089.80 is: 9,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.56 : 16,732.14 = 7,089.80 : x
  2. Step 2: Convert to fraction form
    12,126.56/16,732.14 = 7,089.80/x
  3. Step 3: Cross multiply
    12,126.56x = 16,732.14 × 7,089.80
  4. Step 4: Simplify right side
    12,126.56x = 118,627,415.92
  5. Step 5: Solve for x
    x = 118,627,415.92/12,126.56
  6. Step 6: Final answer
    x = 9,782.45

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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.