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Finding the Fourth Proportional to 19,721, 29,582.46 and 5,870.12

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Solution

The fourth proportional to 19,721, 29,582.46 and 5,870.12 is: 8,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721 : 29,582.46 = 5,870.12 : x
  2. Step 2: Convert to fraction form
    19,721/29,582.46 = 5,870.12/x
  3. Step 3: Cross multiply
    19,721x = 29,582.46 × 5,870.12
  4. Step 4: Simplify right side
    19,721x = 173,652,590.10
  5. Step 5: Solve for x
    x = 173,652,590.10/19,721
  6. Step 6: Final answer
    x = 8,805.47

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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.