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Finding the Fourth Proportional to 13,438.69, 18,538.35 and 9,130.24

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Solution

The fourth proportional to 13,438.69, 18,538.35 and 9,130.24 is: 12,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.69 : 18,538.35 = 9,130.24 : x
  2. Step 2: Convert to fraction form
    13,438.69/18,538.35 = 9,130.24/x
  3. Step 3: Cross multiply
    13,438.69x = 18,538.35 × 9,130.24
  4. Step 4: Simplify right side
    13,438.69x = 169,259,584.70
  5. Step 5: Solve for x
    x = 169,259,584.70/13,438.69
  6. Step 6: Final answer
    x = 12,594.95

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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.