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Finding the Fourth Proportional to 12,242.60, 16,897.86 and 6,940.58

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Solution

The fourth proportional to 12,242.60, 16,897.86 and 6,940.58 is: 9,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.60 : 16,897.86 = 6,940.58 : x
  2. Step 2: Convert to fraction form
    12,242.60/16,897.86 = 6,940.58/x
  3. Step 3: Cross multiply
    12,242.60x = 16,897.86 × 6,940.58
  4. Step 4: Simplify right side
    12,242.60x = 117,280,949.16
  5. Step 5: Solve for x
    x = 117,280,949.16/12,242.60
  6. Step 6: Final answer
    x = 9,579.74

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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.