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Finding the Fourth Proportional to 12,225.54, 18,303.48 and 8,052.96

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Solution

The fourth proportional to 12,225.54, 18,303.48 and 8,052.96 is: 12,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.54 : 18,303.48 = 8,052.96 : x
  2. Step 2: Convert to fraction form
    12,225.54/18,303.48 = 8,052.96/x
  3. Step 3: Cross multiply
    12,225.54x = 18,303.48 × 8,052.96
  4. Step 4: Simplify right side
    12,225.54x = 147,397,192.30
  5. Step 5: Solve for x
    x = 147,397,192.30/12,225.54
  6. Step 6: Final answer
    x = 12,056.50

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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.