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Finding the Fourth Proportional to 25,870.44, 35,701.24 and 14,692.44

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Solution

The fourth proportional to 25,870.44, 35,701.24 and 14,692.44 is: 20,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.44 : 35,701.24 = 14,692.44 : x
  2. Step 2: Convert to fraction form
    25,870.44/35,701.24 = 14,692.44/x
  3. Step 3: Cross multiply
    25,870.44x = 35,701.24 × 14,692.44
  4. Step 4: Simplify right side
    25,870.44x = 524,538,326.63
  5. Step 5: Solve for x
    x = 524,538,326.63/25,870.44
  6. Step 6: Final answer
    x = 20,275.59

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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.