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Finding the Fourth Proportional to 15,970.50, 22,039.02 and 8,896.77

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Solution

The fourth proportional to 15,970.50, 22,039.02 and 8,896.77 is: 12,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.50 : 22,039.02 = 8,896.77 : x
  2. Step 2: Convert to fraction form
    15,970.50/22,039.02 = 8,896.77/x
  3. Step 3: Cross multiply
    15,970.50x = 22,039.02 × 8,896.77
  4. Step 4: Simplify right side
    15,970.50x = 196,076,091.97
  5. Step 5: Solve for x
    x = 196,076,091.97/15,970.50
  6. Step 6: Final answer
    x = 12,277.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.