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Finding the Fourth Proportional to 16,565.44, 22,861.92 and 12,366.40

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Solution

The fourth proportional to 16,565.44, 22,861.92 and 12,366.40 is: 17,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.44 : 22,861.92 = 12,366.40 : x
  2. Step 2: Convert to fraction form
    16,565.44/22,861.92 = 12,366.40/x
  3. Step 3: Cross multiply
    16,565.44x = 22,861.92 × 12,366.40
  4. Step 4: Simplify right side
    16,565.44x = 282,719,647.49
  5. Step 5: Solve for x
    x = 282,719,647.49/16,565.44
  6. Step 6: Final answer
    x = 17,066.84

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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.