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Finding the Fourth Proportional to 17,755.74, 24,502.74 and 9,798.03

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Solution

The fourth proportional to 17,755.74, 24,502.74 and 9,798.03 is: 13,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.74 : 24,502.74 = 9,798.03 : x
  2. Step 2: Convert to fraction form
    17,755.74/24,502.74 = 9,798.03/x
  3. Step 3: Cross multiply
    17,755.74x = 24,502.74 × 9,798.03
  4. Step 4: Simplify right side
    17,755.74x = 240,078,581.60
  5. Step 5: Solve for x
    x = 240,078,581.60/17,755.74
  6. Step 6: Final answer
    x = 13,521.18

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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.