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Finding the Fourth Proportional to 12,923.12, 17,833.56 and 7,334

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Solution

The fourth proportional to 12,923.12, 17,833.56 and 7,334 is: 10,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.12 : 17,833.56 = 7,334 : x
  2. Step 2: Convert to fraction form
    12,923.12/17,833.56 = 7,334/x
  3. Step 3: Cross multiply
    12,923.12x = 17,833.56 × 7,334
  4. Step 4: Simplify right side
    12,923.12x = 130,791,329.04
  5. Step 5: Solve for x
    x = 130,791,329.04/12,923.12
  6. Step 6: Final answer
    x = 10,120.72

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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.