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Finding the Fourth Proportional to 12,070.26, 16,656.96 and 7,878.50

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Solution

The fourth proportional to 12,070.26, 16,656.96 and 7,878.50 is: 10,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.26 : 16,656.96 = 7,878.50 : x
  2. Step 2: Convert to fraction form
    12,070.26/16,656.96 = 7,878.50/x
  3. Step 3: Cross multiply
    12,070.26x = 16,656.96 × 7,878.50
  4. Step 4: Simplify right side
    12,070.26x = 131,231,859.36
  5. Step 5: Solve for x
    x = 131,231,859.36/12,070.26
  6. Step 6: Final answer
    x = 10,872.33

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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.