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Finding the Fourth Proportional to 12,146.74, 16,727.21 and 10,552.66

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Solution

The fourth proportional to 12,146.74, 16,727.21 and 10,552.66 is: 14,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.74 : 16,727.21 = 10,552.66 : x
  2. Step 2: Convert to fraction form
    12,146.74/16,727.21 = 10,552.66/x
  3. Step 3: Cross multiply
    12,146.74x = 16,727.21 × 10,552.66
  4. Step 4: Simplify right side
    12,146.74x = 176,516,559.88
  5. Step 5: Solve for x
    x = 176,516,559.88/12,146.74
  6. Step 6: Final answer
    x = 14,532.01

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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.