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Finding the Fourth Proportional to 15,774.36, 23,661.54 and 9,916.44

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Solution

The fourth proportional to 15,774.36, 23,661.54 and 9,916.44 is: 14,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.36 : 23,661.54 = 9,916.44 : x
  2. Step 2: Convert to fraction form
    15,774.36/23,661.54 = 9,916.44/x
  3. Step 3: Cross multiply
    15,774.36x = 23,661.54 × 9,916.44
  4. Step 4: Simplify right side
    15,774.36x = 234,638,241.72
  5. Step 5: Solve for x
    x = 234,638,241.72/15,774.36
  6. Step 6: Final answer
    x = 14,874.66

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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.