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Finding the Fourth Proportional to 25,477.32, 38,222.52 and 9,889.68

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Solution

The fourth proportional to 25,477.32, 38,222.52 and 9,889.68 is: 14,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.32 : 38,222.52 = 9,889.68 : x
  2. Step 2: Convert to fraction form
    25,477.32/38,222.52 = 9,889.68/x
  3. Step 3: Cross multiply
    25,477.32x = 38,222.52 × 9,889.68
  4. Step 4: Simplify right side
    25,477.32x = 378,008,491.59
  5. Step 5: Solve for x
    x = 378,008,491.59/25,477.32
  6. Step 6: Final answer
    x = 14,837.06

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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.