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Finding the Fourth Proportional to 28,192.64, 42,292.44 and 9,216.83

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Solution

The fourth proportional to 28,192.64, 42,292.44 and 9,216.83 is: 13,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192.64 : 42,292.44 = 9,216.83 : x
  2. Step 2: Convert to fraction form
    28,192.64/42,292.44 = 9,216.83/x
  3. Step 3: Cross multiply
    28,192.64x = 42,292.44 × 9,216.83
  4. Step 4: Simplify right side
    28,192.64x = 389,802,335.50
  5. Step 5: Solve for x
    x = 389,802,335.50/28,192.64
  6. Step 6: Final answer
    x = 13,826.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.