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Finding the Fourth Proportional to 17,894.91, 24,693.82 and 9,828.70

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Solution

The fourth proportional to 17,894.91, 24,693.82 and 9,828.70 is: 13,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.91 : 24,693.82 = 9,828.70 : x
  2. Step 2: Convert to fraction form
    17,894.91/24,693.82 = 9,828.70/x
  3. Step 3: Cross multiply
    17,894.91x = 24,693.82 × 9,828.70
  4. Step 4: Simplify right side
    17,894.91x = 242,708,148.63
  5. Step 5: Solve for x
    x = 242,708,148.63/17,894.91
  6. Step 6: Final answer
    x = 13,562.97

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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.