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Finding the Fourth Proportional to 25,320.70, 37,982.67 and 9,738.32

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Solution

The fourth proportional to 25,320.70, 37,982.67 and 9,738.32 is: 14,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,320.70 : 37,982.67 = 9,738.32 : x
  2. Step 2: Convert to fraction form
    25,320.70/37,982.67 = 9,738.32/x
  3. Step 3: Cross multiply
    25,320.70x = 37,982.67 × 9,738.32
  4. Step 4: Simplify right side
    25,320.70x = 369,887,346.22
  5. Step 5: Solve for x
    x = 369,887,346.22/25,320.70
  6. Step 6: Final answer
    x = 14,608.10

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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.