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Finding the Fourth Proportional to 16,649.60, 22,970.45 and 9,842.18

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Solution

The fourth proportional to 16,649.60, 22,970.45 and 9,842.18 is: 13,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.60 : 22,970.45 = 9,842.18 : x
  2. Step 2: Convert to fraction form
    16,649.60/22,970.45 = 9,842.18/x
  3. Step 3: Cross multiply
    16,649.60x = 22,970.45 × 9,842.18
  4. Step 4: Simplify right side
    16,649.60x = 226,079,213.33
  5. Step 5: Solve for x
    x = 226,079,213.33/16,649.60
  6. Step 6: Final answer
    x = 13,578.66

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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.