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Finding the Fourth Proportional to 17,714.36, 24,444.92 and 9,755.08

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Solution

The fourth proportional to 17,714.36, 24,444.92 and 9,755.08 is: 13,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.36 : 24,444.92 = 9,755.08 : x
  2. Step 2: Convert to fraction form
    17,714.36/24,444.92 = 9,755.08/x
  3. Step 3: Cross multiply
    17,714.36x = 24,444.92 × 9,755.08
  4. Step 4: Simplify right side
    17,714.36x = 238,462,150.19
  5. Step 5: Solve for x
    x = 238,462,150.19/17,714.36
  6. Step 6: Final answer
    x = 13,461.52

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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.