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Finding the Fourth Proportional to 14,650.50, 21,978.51 and 5,886.09

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Solution

The fourth proportional to 14,650.50, 21,978.51 and 5,886.09 is: 8,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.50 : 21,978.51 = 5,886.09 : x
  2. Step 2: Convert to fraction form
    14,650.50/21,978.51 = 5,886.09/x
  3. Step 3: Cross multiply
    14,650.50x = 21,978.51 × 5,886.09
  4. Step 4: Simplify right side
    14,650.50x = 129,367,487.93
  5. Step 5: Solve for x
    x = 129,367,487.93/14,650.50
  6. Step 6: Final answer
    x = 8,830.24

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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.