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Finding the Fourth Proportional to 17,438.94, 24,065.20 and 9,885.96

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Solution

The fourth proportional to 17,438.94, 24,065.20 and 9,885.96 is: 13,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.94 : 24,065.20 = 9,885.96 : x
  2. Step 2: Convert to fraction form
    17,438.94/24,065.20 = 9,885.96/x
  3. Step 3: Cross multiply
    17,438.94x = 24,065.20 × 9,885.96
  4. Step 4: Simplify right side
    17,438.94x = 237,907,604.59
  5. Step 5: Solve for x
    x = 237,907,604.59/17,438.94
  6. Step 6: Final answer
    x = 13,642.32

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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.