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Finding the Fourth Proportional to 17,565.92, 24,238 and 10,852.64

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Solution

The fourth proportional to 17,565.92, 24,238 and 10,852.64 is: 14,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.92 : 24,238 = 10,852.64 : x
  2. Step 2: Convert to fraction form
    17,565.92/24,238 = 10,852.64/x
  3. Step 3: Cross multiply
    17,565.92x = 24,238 × 10,852.64
  4. Step 4: Simplify right side
    17,565.92x = 263,046,288.32
  5. Step 5: Solve for x
    x = 263,046,288.32/17,565.92
  6. Step 6: Final answer
    x = 14,974.81

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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.