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Finding the Fourth Proportional to 14,538.70, 21,808.05 and 12,205.90

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Solution

The fourth proportional to 14,538.70, 21,808.05 and 12,205.90 is: 18,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.70 : 21,808.05 = 12,205.90 : x
  2. Step 2: Convert to fraction form
    14,538.70/21,808.05 = 12,205.90/x
  3. Step 3: Cross multiply
    14,538.70x = 21,808.05 × 12,205.90
  4. Step 4: Simplify right side
    14,538.70x = 266,186,877.50
  5. Step 5: Solve for x
    x = 266,186,877.50/14,538.70
  6. Step 6: Final answer
    x = 18,308.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.