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Finding the Fourth Proportional to 21,833.62, 30,129 and 12,881.50

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Solution

The fourth proportional to 21,833.62, 30,129 and 12,881.50 is: 17,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.62 : 30,129 = 12,881.50 : x
  2. Step 2: Convert to fraction form
    21,833.62/30,129 = 12,881.50/x
  3. Step 3: Cross multiply
    21,833.62x = 30,129 × 12,881.50
  4. Step 4: Simplify right side
    21,833.62x = 388,106,713.50
  5. Step 5: Solve for x
    x = 388,106,713.50/21,833.62
  6. Step 6: Final answer
    x = 17,775.65

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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.