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Finding the Fourth Proportional to 27,513.16, 37,965.78 and 16,026.28

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Solution

The fourth proportional to 27,513.16, 37,965.78 and 16,026.28 is: 22,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.16 : 37,965.78 = 16,026.28 : x
  2. Step 2: Convert to fraction form
    27,513.16/37,965.78 = 16,026.28/x
  3. Step 3: Cross multiply
    27,513.16x = 37,965.78 × 16,026.28
  4. Step 4: Simplify right side
    27,513.16x = 608,450,125.78
  5. Step 5: Solve for x
    x = 608,450,125.78/27,513.16
  6. Step 6: Final answer
    x = 22,114.88

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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.