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Finding the Fourth Proportional to 17,438.46, 24,065.25 and 9,480.86

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Solution

The fourth proportional to 17,438.46, 24,065.25 and 9,480.86 is: 13,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.46 : 24,065.25 = 9,480.86 : x
  2. Step 2: Convert to fraction form
    17,438.46/24,065.25 = 9,480.86/x
  3. Step 3: Cross multiply
    17,438.46x = 24,065.25 × 9,480.86
  4. Step 4: Simplify right side
    17,438.46x = 228,159,200.48
  5. Step 5: Solve for x
    x = 228,159,200.48/17,438.46
  6. Step 6: Final answer
    x = 13,083.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.