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Finding the Fourth Proportional to 12,565.96, 18,739.07 and 11,013.16

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Solution

The fourth proportional to 12,565.96, 18,739.07 and 11,013.16 is: 16,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.96 : 18,739.07 = 11,013.16 : x
  2. Step 2: Convert to fraction form
    12,565.96/18,739.07 = 11,013.16/x
  3. Step 3: Cross multiply
    12,565.96x = 18,739.07 × 11,013.16
  4. Step 4: Simplify right side
    12,565.96x = 206,376,376.16
  5. Step 5: Solve for x
    x = 206,376,376.16/12,565.96
  6. Step 6: Final answer
    x = 16,423.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.