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Finding the Fourth Proportional to 17,971.99, 24,800.64 and 10,014.01

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Solution

The fourth proportional to 17,971.99, 24,800.64 and 10,014.01 is: 13,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.99 : 24,800.64 = 10,014.01 : x
  2. Step 2: Convert to fraction form
    17,971.99/24,800.64 = 10,014.01/x
  3. Step 3: Cross multiply
    17,971.99x = 24,800.64 × 10,014.01
  4. Step 4: Simplify right side
    17,971.99x = 248,353,856.97
  5. Step 5: Solve for x
    x = 248,353,856.97/17,971.99
  6. Step 6: Final answer
    x = 13,818.94

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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.