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Finding the Fourth Proportional to 13,547.74, 18,697.26 and 8,242.96

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Solution

The fourth proportional to 13,547.74, 18,697.26 and 8,242.96 is: 11,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.74 : 18,697.26 = 8,242.96 : x
  2. Step 2: Convert to fraction form
    13,547.74/18,697.26 = 8,242.96/x
  3. Step 3: Cross multiply
    13,547.74x = 18,697.26 × 8,242.96
  4. Step 4: Simplify right side
    13,547.74x = 154,120,766.29
  5. Step 5: Solve for x
    x = 154,120,766.29/13,547.74
  6. Step 6: Final answer
    x = 11,376.12

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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.