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Finding the Fourth Proportional to 16,347.60, 22,559 and 9,273.86

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Solution

The fourth proportional to 16,347.60, 22,559 and 9,273.86 is: 12,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.60 : 22,559 = 9,273.86 : x
  2. Step 2: Convert to fraction form
    16,347.60/22,559 = 9,273.86/x
  3. Step 3: Cross multiply
    16,347.60x = 22,559 × 9,273.86
  4. Step 4: Simplify right side
    16,347.60x = 209,209,007.74
  5. Step 5: Solve for x
    x = 209,209,007.74/16,347.60
  6. Step 6: Final answer
    x = 12,797.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.