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Finding the Fourth Proportional to 24,137.72, 36,206.63 and 10,286.72

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Solution

The fourth proportional to 24,137.72, 36,206.63 and 10,286.72 is: 15,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.72 : 36,206.63 = 10,286.72 : x
  2. Step 2: Convert to fraction form
    24,137.72/36,206.63 = 10,286.72/x
  3. Step 3: Cross multiply
    24,137.72x = 36,206.63 × 10,286.72
  4. Step 4: Simplify right side
    24,137.72x = 372,447,406.84
  5. Step 5: Solve for x
    x = 372,447,406.84/24,137.72
  6. Step 6: Final answer
    x = 15,430.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.