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Finding the Fourth Proportional to 15,201.60, 22,827.71 and 9,395.12

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Solution

The fourth proportional to 15,201.60, 22,827.71 and 9,395.12 is: 14,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.60 : 22,827.71 = 9,395.12 : x
  2. Step 2: Convert to fraction form
    15,201.60/22,827.71 = 9,395.12/x
  3. Step 3: Cross multiply
    15,201.60x = 22,827.71 × 9,395.12
  4. Step 4: Simplify right side
    15,201.60x = 214,468,913.66
  5. Step 5: Solve for x
    x = 214,468,913.66/15,201.60
  6. Step 6: Final answer
    x = 14,108.31

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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.