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Finding the Fourth Proportional to 17,438.71, 24,065.57 and 9,480.94

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Solution

The fourth proportional to 17,438.71, 24,065.57 and 9,480.94 is: 13,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.71 : 24,065.57 = 9,480.94 : x
  2. Step 2: Convert to fraction form
    17,438.71/24,065.57 = 9,480.94/x
  3. Step 3: Cross multiply
    17,438.71x = 24,065.57 × 9,480.94
  4. Step 4: Simplify right side
    17,438.71x = 228,164,225.24
  5. Step 5: Solve for x
    x = 228,164,225.24/17,438.71
  6. Step 6: Final answer
    x = 13,083.78

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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.