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Finding the Fourth Proportional to 25,101.84, 34,663.97 and 16,164.91

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Solution

The fourth proportional to 25,101.84, 34,663.97 and 16,164.91 is: 22,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.84 : 34,663.97 = 16,164.91 : x
  2. Step 2: Convert to fraction form
    25,101.84/34,663.97 = 16,164.91/x
  3. Step 3: Cross multiply
    25,101.84x = 34,663.97 × 16,164.91
  4. Step 4: Simplify right side
    25,101.84x = 560,339,701.15
  5. Step 5: Solve for x
    x = 560,339,701.15/25,101.84
  6. Step 6: Final answer
    x = 22,322.65

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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.