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Finding the Fourth Proportional to 19,555.64, 29,333.04 and 4,764.64

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Solution

The fourth proportional to 19,555.64, 29,333.04 and 4,764.64 is: 7,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,555.64 : 29,333.04 = 4,764.64 : x
  2. Step 2: Convert to fraction form
    19,555.64/29,333.04 = 4,764.64/x
  3. Step 3: Cross multiply
    19,555.64x = 29,333.04 × 4,764.64
  4. Step 4: Simplify right side
    19,555.64x = 139,761,375.71
  5. Step 5: Solve for x
    x = 139,761,375.71/19,555.64
  6. Step 6: Final answer
    x = 7,146.86

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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.