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Finding the Fourth Proportional to 13,142.64, 19,714.26 and 4,378.26

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Solution

The fourth proportional to 13,142.64, 19,714.26 and 4,378.26 is: 6,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.64 : 19,714.26 = 4,378.26 : x
  2. Step 2: Convert to fraction form
    13,142.64/19,714.26 = 4,378.26/x
  3. Step 3: Cross multiply
    13,142.64x = 19,714.26 × 4,378.26
  4. Step 4: Simplify right side
    13,142.64x = 86,314,155.99
  5. Step 5: Solve for x
    x = 86,314,155.99/13,142.64
  6. Step 6: Final answer
    x = 6,567.49

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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.