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Finding the Fourth Proportional to 17,894.16, 24,696.22 and 10,820.63

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Solution

The fourth proportional to 17,894.16, 24,696.22 and 10,820.63 is: 14,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.16 : 24,696.22 = 10,820.63 : x
  2. Step 2: Convert to fraction form
    17,894.16/24,696.22 = 10,820.63/x
  3. Step 3: Cross multiply
    17,894.16x = 24,696.22 × 10,820.63
  4. Step 4: Simplify right side
    17,894.16x = 267,228,693.71
  5. Step 5: Solve for x
    x = 267,228,693.71/17,894.16
  6. Step 6: Final answer
    x = 14,933.85

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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.