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Finding the Fourth Proportional to 14,612.22, 20,166.71 and 9,580.64

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Solution

The fourth proportional to 14,612.22, 20,166.71 and 9,580.64 is: 13,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.22 : 20,166.71 = 9,580.64 : x
  2. Step 2: Convert to fraction form
    14,612.22/20,166.71 = 9,580.64/x
  3. Step 3: Cross multiply
    14,612.22x = 20,166.71 × 9,580.64
  4. Step 4: Simplify right side
    14,612.22x = 193,209,839.76
  5. Step 5: Solve for x
    x = 193,209,839.76/14,612.22
  6. Step 6: Final answer
    x = 13,222.48

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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.