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Finding the Fourth Proportional to 22,152.64, 33,238.68 and 10,462.72

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Solution

The fourth proportional to 22,152.64, 33,238.68 and 10,462.72 is: 15,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.64 : 33,238.68 = 10,462.72 : x
  2. Step 2: Convert to fraction form
    22,152.64/33,238.68 = 10,462.72/x
  3. Step 3: Cross multiply
    22,152.64x = 33,238.68 × 10,462.72
  4. Step 4: Simplify right side
    22,152.64x = 347,767,002.01
  5. Step 5: Solve for x
    x = 347,767,002.01/22,152.64
  6. Step 6: Final answer
    x = 15,698.67

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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.