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Finding the Fourth Proportional to 12,122.79, 18,180.54 and 7,962.63

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Solution

The fourth proportional to 12,122.79, 18,180.54 and 7,962.63 is: 11,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.79 : 18,180.54 = 7,962.63 : x
  2. Step 2: Convert to fraction form
    12,122.79/18,180.54 = 7,962.63/x
  3. Step 3: Cross multiply
    12,122.79x = 18,180.54 × 7,962.63
  4. Step 4: Simplify right side
    12,122.79x = 144,764,913.22
  5. Step 5: Solve for x
    x = 144,764,913.22/12,122.79
  6. Step 6: Final answer
    x = 11,941.55

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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.