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Finding the Fourth Proportional to 13,565.16, 20,360.70 and 8,381.16

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Solution

The fourth proportional to 13,565.16, 20,360.70 and 8,381.16 is: 12,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.16 : 20,360.70 = 8,381.16 : x
  2. Step 2: Convert to fraction form
    13,565.16/20,360.70 = 8,381.16/x
  3. Step 3: Cross multiply
    13,565.16x = 20,360.70 × 8,381.16
  4. Step 4: Simplify right side
    13,565.16x = 170,646,284.41
  5. Step 5: Solve for x
    x = 170,646,284.41/13,565.16
  6. Step 6: Final answer
    x = 12,579.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.