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Finding the Fourth Proportional to 25,874.62, 35,692.34 and 16,298.02

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Solution

The fourth proportional to 25,874.62, 35,692.34 and 16,298.02 is: 22,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.62 : 35,692.34 = 16,298.02 : x
  2. Step 2: Convert to fraction form
    25,874.62/35,692.34 = 16,298.02/x
  3. Step 3: Cross multiply
    25,874.62x = 35,692.34 × 16,298.02
  4. Step 4: Simplify right side
    25,874.62x = 581,714,471.17
  5. Step 5: Solve for x
    x = 581,714,471.17/25,874.62
  6. Step 6: Final answer
    x = 22,482.05

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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.