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Finding the Fourth Proportional to 13,364.57, 18,438.12 and 10,299.32

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Solution

The fourth proportional to 13,364.57, 18,438.12 and 10,299.32 is: 14,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.57 : 18,438.12 = 10,299.32 : x
  2. Step 2: Convert to fraction form
    13,364.57/18,438.12 = 10,299.32/x
  3. Step 3: Cross multiply
    13,364.57x = 18,438.12 × 10,299.32
  4. Step 4: Simplify right side
    13,364.57x = 189,900,005.89
  5. Step 5: Solve for x
    x = 189,900,005.89/13,364.57
  6. Step 6: Final answer
    x = 14,209.22

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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.