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Finding the Fourth Proportional to 12,064.40, 16,235.09 and 12,064.40

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Solution

The fourth proportional to 12,064.40, 16,235.09 and 12,064.40 is: 16,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.40 : 16,235.09 = 12,064.40 : x
  2. Step 2: Convert to fraction form
    12,064.40/16,235.09 = 12,064.40/x
  3. Step 3: Cross multiply
    12,064.40x = 16,235.09 × 12,064.40
  4. Step 4: Simplify right side
    12,064.40x = 195,866,619.80
  5. Step 5: Solve for x
    x = 195,866,619.80/12,064.40
  6. Step 6: Final answer
    x = 16,235.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.