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Finding the Fourth Proportional to 14,344.32, 19,795.14 and 7,972.06

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Solution

The fourth proportional to 14,344.32, 19,795.14 and 7,972.06 is: 11,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.32 : 19,795.14 = 7,972.06 : x
  2. Step 2: Convert to fraction form
    14,344.32/19,795.14 = 7,972.06/x
  3. Step 3: Cross multiply
    14,344.32x = 19,795.14 × 7,972.06
  4. Step 4: Simplify right side
    14,344.32x = 157,808,043.79
  5. Step 5: Solve for x
    x = 157,808,043.79/14,344.32
  6. Step 6: Final answer
    x = 11,001.43

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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.