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Finding the Fourth Proportional to 17,862.56, 24,649.20 and 9,904.32

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Solution

The fourth proportional to 17,862.56, 24,649.20 and 9,904.32 is: 13,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.56 : 24,649.20 = 9,904.32 : x
  2. Step 2: Convert to fraction form
    17,862.56/24,649.20 = 9,904.32/x
  3. Step 3: Cross multiply
    17,862.56x = 24,649.20 × 9,904.32
  4. Step 4: Simplify right side
    17,862.56x = 244,133,564.54
  5. Step 5: Solve for x
    x = 244,133,564.54/17,862.56
  6. Step 6: Final answer
    x = 13,667.33

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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.