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Finding the Fourth Proportional to 10,506.08, 15,744.72 and 10,190.72

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Solution

The fourth proportional to 10,506.08, 15,744.72 and 10,190.72 is: 15,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.08 : 15,744.72 = 10,190.72 : x
  2. Step 2: Convert to fraction form
    10,506.08/15,744.72 = 10,190.72/x
  3. Step 3: Cross multiply
    10,506.08x = 15,744.72 × 10,190.72
  4. Step 4: Simplify right side
    10,506.08x = 160,450,033.00
  5. Step 5: Solve for x
    x = 160,450,033.00/10,506.08
  6. Step 6: Final answer
    x = 15,272.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.