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Finding the Fourth Proportional to 12,077.08, 16,643.80 and 9,420.28

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Solution

The fourth proportional to 12,077.08, 16,643.80 and 9,420.28 is: 12,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.08 : 16,643.80 = 9,420.28 : x
  2. Step 2: Convert to fraction form
    12,077.08/16,643.80 = 9,420.28/x
  3. Step 3: Cross multiply
    12,077.08x = 16,643.80 × 9,420.28
  4. Step 4: Simplify right side
    12,077.08x = 156,789,256.26
  5. Step 5: Solve for x
    x = 156,789,256.26/12,077.08
  6. Step 6: Final answer
    x = 12,982.38

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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.