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Finding the Fourth Proportional to 12,777.15, 17,632.34 and 7,111.81

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Solution

The fourth proportional to 12,777.15, 17,632.34 and 7,111.81 is: 9,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.15 : 17,632.34 = 7,111.81 : x
  2. Step 2: Convert to fraction form
    12,777.15/17,632.34 = 7,111.81/x
  3. Step 3: Cross multiply
    12,777.15x = 17,632.34 × 7,111.81
  4. Step 4: Simplify right side
    12,777.15x = 125,397,798.96
  5. Step 5: Solve for x
    x = 125,397,798.96/12,777.15
  6. Step 6: Final answer
    x = 9,814.22

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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.