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Finding the Fourth Proportional to 17,894.67, 24,695.33 and 9,937.49

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Solution

The fourth proportional to 17,894.67, 24,695.33 and 9,937.49 is: 13,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.67 : 24,695.33 = 9,937.49 : x
  2. Step 2: Convert to fraction form
    17,894.67/24,695.33 = 9,937.49/x
  3. Step 3: Cross multiply
    17,894.67x = 24,695.33 × 9,937.49
  4. Step 4: Simplify right side
    17,894.67x = 245,409,477.66
  5. Step 5: Solve for x
    x = 245,409,477.66/17,894.67
  6. Step 6: Final answer
    x = 13,714.11

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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.