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Finding the Fourth Proportional to 13,765.46, 18,999.35 and 9,050.18

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Solution

The fourth proportional to 13,765.46, 18,999.35 and 9,050.18 is: 12,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.46 : 18,999.35 = 9,050.18 : x
  2. Step 2: Convert to fraction form
    13,765.46/18,999.35 = 9,050.18/x
  3. Step 3: Cross multiply
    13,765.46x = 18,999.35 × 9,050.18
  4. Step 4: Simplify right side
    13,765.46x = 171,947,537.38
  5. Step 5: Solve for x
    x = 171,947,537.38/13,765.46
  6. Step 6: Final answer
    x = 12,491.23

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Why These Related Problems?

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