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Finding the Fourth Proportional to 13,152.30, 19,728.45 and 8,237.10

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Solution

The fourth proportional to 13,152.30, 19,728.45 and 8,237.10 is: 12,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.30 : 19,728.45 = 8,237.10 : x
  2. Step 2: Convert to fraction form
    13,152.30/19,728.45 = 8,237.10/x
  3. Step 3: Cross multiply
    13,152.30x = 19,728.45 × 8,237.10
  4. Step 4: Simplify right side
    13,152.30x = 162,505,215.50
  5. Step 5: Solve for x
    x = 162,505,215.50/13,152.30
  6. Step 6: Final answer
    x = 12,355.65

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Why These Related Problems?

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