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Finding the Fourth Proportional to 13,747.74, 18,971.62 and 8,368.22

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Solution

The fourth proportional to 13,747.74, 18,971.62 and 8,368.22 is: 11,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.74 : 18,971.62 = 8,368.22 : x
  2. Step 2: Convert to fraction form
    13,747.74/18,971.62 = 8,368.22/x
  3. Step 3: Cross multiply
    13,747.74x = 18,971.62 × 8,368.22
  4. Step 4: Simplify right side
    13,747.74x = 158,758,689.92
  5. Step 5: Solve for x
    x = 158,758,689.92/13,747.74
  6. Step 6: Final answer
    x = 11,547.98

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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.