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Finding the Fourth Proportional to 14,595.41, 20,125.64 and 9,871.49

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Solution

The fourth proportional to 14,595.41, 20,125.64 and 9,871.49 is: 13,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.41 : 20,125.64 = 9,871.49 : x
  2. Step 2: Convert to fraction form
    14,595.41/20,125.64 = 9,871.49/x
  3. Step 3: Cross multiply
    14,595.41x = 20,125.64 × 9,871.49
  4. Step 4: Simplify right side
    14,595.41x = 198,669,978.05
  5. Step 5: Solve for x
    x = 198,669,978.05/14,595.41
  6. Step 6: Final answer
    x = 13,611.82

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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.