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Finding the Fourth Proportional to 17,671.60, 24,387.24 and 9,714.32

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Solution

The fourth proportional to 17,671.60, 24,387.24 and 9,714.32 is: 13,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.60 : 24,387.24 = 9,714.32 : x
  2. Step 2: Convert to fraction form
    17,671.60/24,387.24 = 9,714.32/x
  3. Step 3: Cross multiply
    17,671.60x = 24,387.24 × 9,714.32
  4. Step 4: Simplify right side
    17,671.60x = 236,905,453.28
  5. Step 5: Solve for x
    x = 236,905,453.28/17,671.60
  6. Step 6: Final answer
    x = 13,406.00

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1.5x scale

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.