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Finding the Fourth Proportional to 16,649.23, 22,977 and 9,575.50

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Solution

The fourth proportional to 16,649.23, 22,977 and 9,575.50 is: 13,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.23 : 22,977 = 9,575.50 : x
  2. Step 2: Convert to fraction form
    16,649.23/22,977 = 9,575.50/x
  3. Step 3: Cross multiply
    16,649.23x = 22,977 × 9,575.50
  4. Step 4: Simplify right side
    16,649.23x = 220,016,263.50
  5. Step 5: Solve for x
    x = 220,016,263.50/16,649.23
  6. Step 6: Final answer
    x = 13,214.80

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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.