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Finding the Fourth Proportional to 16,347, 22,559.34 and 8,895.48

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Solution

The fourth proportional to 16,347, 22,559.34 and 8,895.48 is: 12,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 22,559.34 = 8,895.48 : x
  2. Step 2: Convert to fraction form
    16,347/22,559.34 = 8,895.48/x
  3. Step 3: Cross multiply
    16,347x = 22,559.34 × 8,895.48
  4. Step 4: Simplify right side
    16,347x = 200,676,157.78
  5. Step 5: Solve for x
    x = 200,676,157.78/16,347
  6. Step 6: Final answer
    x = 12,276.02

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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.