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Finding the Fourth Proportional to 17,406.22, 24,020.62 and 9,448.46

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Solution

The fourth proportional to 17,406.22, 24,020.62 and 9,448.46 is: 13,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.22 : 24,020.62 = 9,448.46 : x
  2. Step 2: Convert to fraction form
    17,406.22/24,020.62 = 9,448.46/x
  3. Step 3: Cross multiply
    17,406.22x = 24,020.62 × 9,448.46
  4. Step 4: Simplify right side
    17,406.22x = 226,957,867.25
  5. Step 5: Solve for x
    x = 226,957,867.25/17,406.22
  6. Step 6: Final answer
    x = 13,038.89

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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.