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Finding the Fourth Proportional to 12,777.47, 17,632.90 and 7,112.09

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Solution

The fourth proportional to 12,777.47, 17,632.90 and 7,112.09 is: 9,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.47 : 17,632.90 = 7,112.09 : x
  2. Step 2: Convert to fraction form
    12,777.47/17,632.90 = 7,112.09/x
  3. Step 3: Cross multiply
    12,777.47x = 17,632.90 × 7,112.09
  4. Step 4: Simplify right side
    12,777.47x = 125,406,859.53
  5. Step 5: Solve for x
    x = 125,406,859.53/12,777.47
  6. Step 6: Final answer
    x = 9,814.69

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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.