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Finding the Fourth Proportional to 25,678.94, 35,435.82 and 16,123.78

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Solution

The fourth proportional to 25,678.94, 35,435.82 and 16,123.78 is: 22,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.94 : 35,435.82 = 16,123.78 : x
  2. Step 2: Convert to fraction form
    25,678.94/35,435.82 = 16,123.78/x
  3. Step 3: Cross multiply
    25,678.94x = 35,435.82 × 16,123.78
  4. Step 4: Simplify right side
    25,678.94x = 571,359,365.80
  5. Step 5: Solve for x
    x = 571,359,365.80/25,678.94
  6. Step 6: Final answer
    x = 22,250.11

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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.