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Finding the Fourth Proportional to 17,811.38, 24,581.54 and 10,258

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Solution

The fourth proportional to 17,811.38, 24,581.54 and 10,258 is: 14,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.38 : 24,581.54 = 10,258 : x
  2. Step 2: Convert to fraction form
    17,811.38/24,581.54 = 10,258/x
  3. Step 3: Cross multiply
    17,811.38x = 24,581.54 × 10,258
  4. Step 4: Simplify right side
    17,811.38x = 252,157,437.32
  5. Step 5: Solve for x
    x = 252,157,437.32/17,811.38
  6. Step 6: Final answer
    x = 14,157.10

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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.