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Finding the Fourth Proportional to 14,342.30, 19,795.55 and 7,971.08

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Solution

The fourth proportional to 14,342.30, 19,795.55 and 7,971.08 is: 11,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.30 : 19,795.55 = 7,971.08 : x
  2. Step 2: Convert to fraction form
    14,342.30/19,795.55 = 7,971.08/x
  3. Step 3: Cross multiply
    14,342.30x = 19,795.55 × 7,971.08
  4. Step 4: Simplify right side
    14,342.30x = 157,791,912.69
  5. Step 5: Solve for x
    x = 157,791,912.69/14,342.30
  6. Step 6: Final answer
    x = 11,001.86

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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.