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Finding the Fourth Proportional to 15,878, 23,814.64 and 4,192.04

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Solution

The fourth proportional to 15,878, 23,814.64 and 4,192.04 is: 6,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878 : 23,814.64 = 4,192.04 : x
  2. Step 2: Convert to fraction form
    15,878/23,814.64 = 4,192.04/x
  3. Step 3: Cross multiply
    15,878x = 23,814.64 × 4,192.04
  4. Step 4: Simplify right side
    15,878x = 99,831,923.47
  5. Step 5: Solve for x
    x = 99,831,923.47/15,878
  6. Step 6: Final answer
    x = 6,287.44

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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.