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Finding the Fourth Proportional to 17,438.34, 24,065.22 and 9,480.60

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Solution

The fourth proportional to 17,438.34, 24,065.22 and 9,480.60 is: 13,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.34 : 24,065.22 = 9,480.60 : x
  2. Step 2: Convert to fraction form
    17,438.34/24,065.22 = 9,480.60/x
  3. Step 3: Cross multiply
    17,438.34x = 24,065.22 × 9,480.60
  4. Step 4: Simplify right side
    17,438.34x = 228,152,724.73
  5. Step 5: Solve for x
    x = 228,152,724.73/17,438.34
  6. Step 6: Final answer
    x = 13,083.40

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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.