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Finding the Fourth Proportional to 15,739.20, 23,617 and 6,972.06

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Solution

The fourth proportional to 15,739.20, 23,617 and 6,972.06 is: 10,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,739.20 : 23,617 = 6,972.06 : x
  2. Step 2: Convert to fraction form
    15,739.20/23,617 = 6,972.06/x
  3. Step 3: Cross multiply
    15,739.20x = 23,617 × 6,972.06
  4. Step 4: Simplify right side
    15,739.20x = 164,659,141.02
  5. Step 5: Solve for x
    x = 164,659,141.02/15,739.20
  6. Step 6: Final answer
    x = 10,461.72

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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.