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Finding the Fourth Proportional to 12,151.50, 16,776.36 and 7,967.04

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Solution

The fourth proportional to 12,151.50, 16,776.36 and 7,967.04 is: 10,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.50 : 16,776.36 = 7,967.04 : x
  2. Step 2: Convert to fraction form
    12,151.50/16,776.36 = 7,967.04/x
  3. Step 3: Cross multiply
    12,151.50x = 16,776.36 × 7,967.04
  4. Step 4: Simplify right side
    12,151.50x = 133,657,931.17
  5. Step 5: Solve for x
    x = 133,657,931.17/12,151.50
  6. Step 6: Final answer
    x = 10,999.29

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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.