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Finding the Fourth Proportional to 17,396, 24,006.32 and 9,438.48

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Solution

The fourth proportional to 17,396, 24,006.32 and 9,438.48 is: 13,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,396 : 24,006.32 = 9,438.48 : x
  2. Step 2: Convert to fraction form
    17,396/24,006.32 = 9,438.48/x
  3. Step 3: Cross multiply
    17,396x = 24,006.32 × 9,438.48
  4. Step 4: Simplify right side
    17,396x = 226,583,171.19
  5. Step 5: Solve for x
    x = 226,583,171.19/17,396
  6. Step 6: Final answer
    x = 13,025.02

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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.