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Finding the Fourth Proportional to 13,143.40, 19,714.52 and 4,378

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Solution

The fourth proportional to 13,143.40, 19,714.52 and 4,378 is: 6,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.40 : 19,714.52 = 4,378 : x
  2. Step 2: Convert to fraction form
    13,143.40/19,714.52 = 4,378/x
  3. Step 3: Cross multiply
    13,143.40x = 19,714.52 × 4,378
  4. Step 4: Simplify right side
    13,143.40x = 86,310,168.56
  5. Step 5: Solve for x
    x = 86,310,168.56/13,143.40
  6. Step 6: Final answer
    x = 6,566.81

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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.