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Finding the Fourth Proportional to 22,347.96, 30,840.38 and 12,276.60

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Solution

The fourth proportional to 22,347.96, 30,840.38 and 12,276.60 is: 16,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.96 : 30,840.38 = 12,276.60 : x
  2. Step 2: Convert to fraction form
    22,347.96/30,840.38 = 12,276.60/x
  3. Step 3: Cross multiply
    22,347.96x = 30,840.38 × 12,276.60
  4. Step 4: Simplify right side
    22,347.96x = 378,615,009.11
  5. Step 5: Solve for x
    x = 378,615,009.11/22,347.96
  6. Step 6: Final answer
    x = 16,941.82

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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.