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Finding the Fourth Proportional to 17,671.44, 24,386.52 and 9,714

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Solution

The fourth proportional to 17,671.44, 24,386.52 and 9,714 is: 13,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.44 : 24,386.52 = 9,714 : x
  2. Step 2: Convert to fraction form
    17,671.44/24,386.52 = 9,714/x
  3. Step 3: Cross multiply
    17,671.44x = 24,386.52 × 9,714
  4. Step 4: Simplify right side
    17,671.44x = 236,890,655.28
  5. Step 5: Solve for x
    x = 236,890,655.28/17,671.44
  6. Step 6: Final answer
    x = 13,405.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.