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Finding the Fourth Proportional to 22,343.64, 33,515.43 and 5,703.67

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Solution

The fourth proportional to 22,343.64, 33,515.43 and 5,703.67 is: 8,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.64 : 33,515.43 = 5,703.67 : x
  2. Step 2: Convert to fraction form
    22,343.64/33,515.43 = 5,703.67/x
  3. Step 3: Cross multiply
    22,343.64x = 33,515.43 × 5,703.67
  4. Step 4: Simplify right side
    22,343.64x = 191,160,973.13
  5. Step 5: Solve for x
    x = 191,160,973.13/22,343.64
  6. Step 6: Final answer
    x = 8,555.50

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Why These Related Problems?

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