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Finding the Fourth Proportional to 19,962.14, 29,947.53 and 9,972.32

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Solution

The fourth proportional to 19,962.14, 29,947.53 and 9,972.32 is: 14,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962.14 : 29,947.53 = 9,972.32 : x
  2. Step 2: Convert to fraction form
    19,962.14/29,947.53 = 9,972.32/x
  3. Step 3: Cross multiply
    19,962.14x = 29,947.53 × 9,972.32
  4. Step 4: Simplify right side
    19,962.14x = 298,646,352.37
  5. Step 5: Solve for x
    x = 298,646,352.37/19,962.14
  6. Step 6: Final answer
    x = 14,960.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.