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Finding the Fourth Proportional to 14,239.23, 19,648.68 and 8,272.16

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Solution

The fourth proportional to 14,239.23, 19,648.68 and 8,272.16 is: 11,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.23 : 19,648.68 = 8,272.16 : x
  2. Step 2: Convert to fraction form
    14,239.23/19,648.68 = 8,272.16/x
  3. Step 3: Cross multiply
    14,239.23x = 19,648.68 × 8,272.16
  4. Step 4: Simplify right side
    14,239.23x = 162,537,024.75
  5. Step 5: Solve for x
    x = 162,537,024.75/14,239.23
  6. Step 6: Final answer
    x = 11,414.73

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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.