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Finding the Fourth Proportional to 12,984.39, 17,912.58 and 7,946.59

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Solution

The fourth proportional to 12,984.39, 17,912.58 and 7,946.59 is: 10,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.39 : 17,912.58 = 7,946.59 : x
  2. Step 2: Convert to fraction form
    12,984.39/17,912.58 = 7,946.59/x
  3. Step 3: Cross multiply
    12,984.39x = 17,912.58 × 7,946.59
  4. Step 4: Simplify right side
    12,984.39x = 142,343,929.10
  5. Step 5: Solve for x
    x = 142,343,929.10/12,984.39
  6. Step 6: Final answer
    x = 10,962.70

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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.