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Finding the Fourth Proportional to 14,496.12, 20,005.14 and 8,122.98

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Solution

The fourth proportional to 14,496.12, 20,005.14 and 8,122.98 is: 11,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.12 : 20,005.14 = 8,122.98 : x
  2. Step 2: Convert to fraction form
    14,496.12/20,005.14 = 8,122.98/x
  3. Step 3: Cross multiply
    14,496.12x = 20,005.14 × 8,122.98
  4. Step 4: Simplify right side
    14,496.12x = 162,501,352.12
  5. Step 5: Solve for x
    x = 162,501,352.12/14,496.12
  6. Step 6: Final answer
    x = 11,209.99

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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.