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Finding the Fourth Proportional to 25,205.95, 34,782.15 and 14,596.27

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Solution

The fourth proportional to 25,205.95, 34,782.15 and 14,596.27 is: 20,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.95 : 34,782.15 = 14,596.27 : x
  2. Step 2: Convert to fraction form
    25,205.95/34,782.15 = 14,596.27/x
  3. Step 3: Cross multiply
    25,205.95x = 34,782.15 × 14,596.27
  4. Step 4: Simplify right side
    25,205.95x = 507,689,652.58
  5. Step 5: Solve for x
    x = 507,689,652.58/25,205.95
  6. Step 6: Final answer
    x = 20,141.66

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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.