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Finding the Fourth Proportional to 16,077.76, 22,188.06 and 9,004

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Solution

The fourth proportional to 16,077.76, 22,188.06 and 9,004 is: 12,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.76 : 22,188.06 = 9,004 : x
  2. Step 2: Convert to fraction form
    16,077.76/22,188.06 = 9,004/x
  3. Step 3: Cross multiply
    16,077.76x = 22,188.06 × 9,004
  4. Step 4: Simplify right side
    16,077.76x = 199,781,292.24
  5. Step 5: Solve for x
    x = 199,781,292.24/16,077.76
  6. Step 6: Final answer
    x = 12,425.94

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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.