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Finding the Fourth Proportional to 17,966.86, 24,794.24 and 10,009.07

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Solution

The fourth proportional to 17,966.86, 24,794.24 and 10,009.07 is: 13,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.86 : 24,794.24 = 10,009.07 : x
  2. Step 2: Convert to fraction form
    17,966.86/24,794.24 = 10,009.07/x
  3. Step 3: Cross multiply
    17,966.86x = 24,794.24 × 10,009.07
  4. Step 4: Simplify right side
    17,966.86x = 248,167,202.72
  5. Step 5: Solve for x
    x = 248,167,202.72/17,966.86
  6. Step 6: Final answer
    x = 13,812.50

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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.