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Finding the Fourth Proportional to 22,861.73, 31,547.91 and 12,788.22

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Solution

The fourth proportional to 22,861.73, 31,547.91 and 12,788.22 is: 17,647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.73 : 31,547.91 = 12,788.22 : x
  2. Step 2: Convert to fraction form
    22,861.73/31,547.91 = 12,788.22/x
  3. Step 3: Cross multiply
    22,861.73x = 31,547.91 × 12,788.22
  4. Step 4: Simplify right side
    22,861.73x = 403,441,613.62
  5. Step 5: Solve for x
    x = 403,441,613.62/22,861.73
  6. Step 6: Final answer
    x = 17,647.03

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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.