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Finding the Fourth Proportional to 16,346.86, 22,558.08 and 9,274.66

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Solution

The fourth proportional to 16,346.86, 22,558.08 and 9,274.66 is: 12,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.86 : 22,558.08 = 9,274.66 : x
  2. Step 2: Convert to fraction form
    16,346.86/22,558.08 = 9,274.66/x
  3. Step 3: Cross multiply
    16,346.86x = 22,558.08 × 9,274.66
  4. Step 4: Simplify right side
    16,346.86x = 209,218,522.25
  5. Step 5: Solve for x
    x = 209,218,522.25/16,346.86
  6. Step 6: Final answer
    x = 12,798.70

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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.