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Finding the Fourth Proportional to 14,678.22, 20,257.11 and 8,391

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Solution

The fourth proportional to 14,678.22, 20,257.11 and 8,391 is: 11,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.22 : 20,257.11 = 8,391 : x
  2. Step 2: Convert to fraction form
    14,678.22/20,257.11 = 8,391/x
  3. Step 3: Cross multiply
    14,678.22x = 20,257.11 × 8,391
  4. Step 4: Simplify right side
    14,678.22x = 169,977,410.01
  5. Step 5: Solve for x
    x = 169,977,410.01/14,678.22
  6. Step 6: Final answer
    x = 11,580.25

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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.