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Finding the Fourth Proportional to 12,274.46, 16,948.74 and 10,006.16

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Solution

The fourth proportional to 12,274.46, 16,948.74 and 10,006.16 is: 13,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.46 : 16,948.74 = 10,006.16 : x
  2. Step 2: Convert to fraction form
    12,274.46/16,948.74 = 10,006.16/x
  3. Step 3: Cross multiply
    12,274.46x = 16,948.74 × 10,006.16
  4. Step 4: Simplify right side
    12,274.46x = 169,591,804.24
  5. Step 5: Solve for x
    x = 169,591,804.24/12,274.46
  6. Step 6: Final answer
    x = 13,816.64

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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.