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Finding the Fourth Proportional to 14,259.54, 19,678.22 and 7,971.91

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Solution

The fourth proportional to 14,259.54, 19,678.22 and 7,971.91 is: 11,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.54 : 19,678.22 = 7,971.91 : x
  2. Step 2: Convert to fraction form
    14,259.54/19,678.22 = 7,971.91/x
  3. Step 3: Cross multiply
    14,259.54x = 19,678.22 × 7,971.91
  4. Step 4: Simplify right side
    14,259.54x = 156,872,958.94
  5. Step 5: Solve for x
    x = 156,872,958.94/14,259.54
  6. Step 6: Final answer
    x = 11,001.27

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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.