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Finding the Fourth Proportional to 19,684.46, 29,521.65 and 5,830.22

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Solution

The fourth proportional to 19,684.46, 29,521.65 and 5,830.22 is: 8,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.46 : 29,521.65 = 5,830.22 : x
  2. Step 2: Convert to fraction form
    19,684.46/29,521.65 = 5,830.22/x
  3. Step 3: Cross multiply
    19,684.46x = 29,521.65 × 5,830.22
  4. Step 4: Simplify right side
    19,684.46x = 172,117,714.26
  5. Step 5: Solve for x
    x = 172,117,714.26/19,684.46
  6. Step 6: Final answer
    x = 8,743.84

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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.