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Finding the Fourth Proportional to 17,971.01, 24,800.40 and 10,013.72

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Solution

The fourth proportional to 17,971.01, 24,800.40 and 10,013.72 is: 13,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.01 : 24,800.40 = 10,013.72 : x
  2. Step 2: Convert to fraction form
    17,971.01/24,800.40 = 10,013.72/x
  3. Step 3: Cross multiply
    17,971.01x = 24,800.40 × 10,013.72
  4. Step 4: Simplify right side
    17,971.01x = 248,344,137.49
  5. Step 5: Solve for x
    x = 248,344,137.49/17,971.01
  6. Step 6: Final answer
    x = 13,819.16

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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.