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Finding the Fourth Proportional to 14,549.70, 20,087.76 and 10,309.74

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Solution

The fourth proportional to 14,549.70, 20,087.76 and 10,309.74 is: 14,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.70 : 20,087.76 = 10,309.74 : x
  2. Step 2: Convert to fraction form
    14,549.70/20,087.76 = 10,309.74/x
  3. Step 3: Cross multiply
    14,549.70x = 20,087.76 × 10,309.74
  4. Step 4: Simplify right side
    14,549.70x = 207,099,582.78
  5. Step 5: Solve for x
    x = 207,099,582.78/14,549.70
  6. Step 6: Final answer
    x = 14,233.94

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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.