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Finding the Fourth Proportional to 21,833.52, 30,129.24 and 12,881.40

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Solution

The fourth proportional to 21,833.52, 30,129.24 and 12,881.40 is: 17,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.52 : 30,129.24 = 12,881.40 : x
  2. Step 2: Convert to fraction form
    21,833.52/30,129.24 = 12,881.40/x
  3. Step 3: Cross multiply
    21,833.52x = 30,129.24 × 12,881.40
  4. Step 4: Simplify right side
    21,833.52x = 388,106,792.14
  5. Step 5: Solve for x
    x = 388,106,792.14/21,833.52
  6. Step 6: Final answer
    x = 17,775.73

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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.