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Finding the Fourth Proportional to 15,467.63, 21,350.86 and 9,180

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Solution

The fourth proportional to 15,467.63, 21,350.86 and 9,180 is: 12,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.63 : 21,350.86 = 9,180 : x
  2. Step 2: Convert to fraction form
    15,467.63/21,350.86 = 9,180/x
  3. Step 3: Cross multiply
    15,467.63x = 21,350.86 × 9,180
  4. Step 4: Simplify right side
    15,467.63x = 196,000,871.85
  5. Step 5: Solve for x
    x = 196,000,871.85/15,467.63
  6. Step 6: Final answer
    x = 12,671.69

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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.