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Finding the Fourth Proportional to 12,212.16, 18,307.23 and 4,415.50

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Solution

The fourth proportional to 12,212.16, 18,307.23 and 4,415.50 is: 6,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.16 : 18,307.23 = 4,415.50 : x
  2. Step 2: Convert to fraction form
    12,212.16/18,307.23 = 4,415.50/x
  3. Step 3: Cross multiply
    12,212.16x = 18,307.23 × 4,415.50
  4. Step 4: Simplify right side
    12,212.16x = 80,835,574.07
  5. Step 5: Solve for x
    x = 80,835,574.07/12,212.16
  6. Step 6: Final answer
    x = 6,619.27

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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.