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Finding the Fourth Proportional to 15,140.86, 20,896.89 and 8,852.02

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Solution

The fourth proportional to 15,140.86, 20,896.89 and 8,852.02 is: 12,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.86 : 20,896.89 = 8,852.02 : x
  2. Step 2: Convert to fraction form
    15,140.86/20,896.89 = 8,852.02/x
  3. Step 3: Cross multiply
    15,140.86x = 20,896.89 × 8,852.02
  4. Step 4: Simplify right side
    15,140.86x = 184,979,688.22
  5. Step 5: Solve for x
    x = 184,979,688.22/15,140.86
  6. Step 6: Final answer
    x = 12,217.25

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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.