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Finding the Fourth Proportional to 17,714.63, 24,445.90 and 9,757.60

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Solution

The fourth proportional to 17,714.63, 24,445.90 and 9,757.60 is: 13,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.63 : 24,445.90 = 9,757.60 : x
  2. Step 2: Convert to fraction form
    17,714.63/24,445.90 = 9,757.60/x
  3. Step 3: Cross multiply
    17,714.63x = 24,445.90 × 9,757.60
  4. Step 4: Simplify right side
    17,714.63x = 238,533,264.92
  5. Step 5: Solve for x
    x = 238,533,264.92/17,714.63
  6. Step 6: Final answer
    x = 13,465.32

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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.