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Finding the Fourth Proportional to 17,714.40, 24,444.99 and 9,755.13

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Solution

The fourth proportional to 17,714.40, 24,444.99 and 9,755.13 is: 13,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.40 : 24,444.99 = 9,755.13 : x
  2. Step 2: Convert to fraction form
    17,714.40/24,444.99 = 9,755.13/x
  3. Step 3: Cross multiply
    17,714.40x = 24,444.99 × 9,755.13
  4. Step 4: Simplify right side
    17,714.40x = 238,464,146.97
  5. Step 5: Solve for x
    x = 238,464,146.97/17,714.40
  6. Step 6: Final answer
    x = 13,461.60

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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.