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Finding the Fourth Proportional to 12,422.81, 17,143.61 and 7,117.51

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Solution

The fourth proportional to 12,422.81, 17,143.61 and 7,117.51 is: 9,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.81 : 17,143.61 = 7,117.51 : x
  2. Step 2: Convert to fraction form
    12,422.81/17,143.61 = 7,117.51/x
  3. Step 3: Cross multiply
    12,422.81x = 17,143.61 × 7,117.51
  4. Step 4: Simplify right side
    12,422.81x = 122,019,815.61
  5. Step 5: Solve for x
    x = 122,019,815.61/12,422.81
  6. Step 6: Final answer
    x = 9,822.24

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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.