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Finding the Fourth Proportional to 15,613.48, 23,419.98 and 7,822.12

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Solution

The fourth proportional to 15,613.48, 23,419.98 and 7,822.12 is: 11,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.48 : 23,419.98 = 7,822.12 : x
  2. Step 2: Convert to fraction form
    15,613.48/23,419.98 = 7,822.12/x
  3. Step 3: Cross multiply
    15,613.48x = 23,419.98 × 7,822.12
  4. Step 4: Simplify right side
    15,613.48x = 183,193,893.96
  5. Step 5: Solve for x
    x = 183,193,893.96/15,613.48
  6. Step 6: Final answer
    x = 11,733.06

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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.