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Finding the Fourth Proportional to 17,894.96, 24,693.24 and 10,447.28

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Solution

The fourth proportional to 17,894.96, 24,693.24 and 10,447.28 is: 14,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.96 : 24,693.24 = 10,447.28 : x
  2. Step 2: Convert to fraction form
    17,894.96/24,693.24 = 10,447.28/x
  3. Step 3: Cross multiply
    17,894.96x = 24,693.24 × 10,447.28
  4. Step 4: Simplify right side
    17,894.96x = 257,977,192.39
  5. Step 5: Solve for x
    x = 257,977,192.39/17,894.96
  6. Step 6: Final answer
    x = 14,416.19

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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.