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Finding the Fourth Proportional to 12,269.48, 16,931.76 and 6,680.48

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Solution

The fourth proportional to 12,269.48, 16,931.76 and 6,680.48 is: 9,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.48 : 16,931.76 = 6,680.48 : x
  2. Step 2: Convert to fraction form
    12,269.48/16,931.76 = 6,680.48/x
  3. Step 3: Cross multiply
    12,269.48x = 16,931.76 × 6,680.48
  4. Step 4: Simplify right side
    12,269.48x = 113,112,284.04
  5. Step 5: Solve for x
    x = 113,112,284.04/12,269.48
  6. Step 6: Final answer
    x = 9,219.00

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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.