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Finding the Fourth Proportional to 22,701.38, 31,326.06 and 12,629.84

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Solution

The fourth proportional to 22,701.38, 31,326.06 and 12,629.84 is: 17,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.38 : 31,326.06 = 12,629.84 : x
  2. Step 2: Convert to fraction form
    22,701.38/31,326.06 = 12,629.84/x
  3. Step 3: Cross multiply
    22,701.38x = 31,326.06 × 12,629.84
  4. Step 4: Simplify right side
    22,701.38x = 395,643,125.63
  5. Step 5: Solve for x
    x = 395,643,125.63/22,701.38
  6. Step 6: Final answer
    x = 17,428.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.