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Finding the Fourth Proportional to 14,802.55, 22,206.56 and 4,942.82

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Solution

The fourth proportional to 14,802.55, 22,206.56 and 4,942.82 is: 7,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.55 : 22,206.56 = 4,942.82 : x
  2. Step 2: Convert to fraction form
    14,802.55/22,206.56 = 4,942.82/x
  3. Step 3: Cross multiply
    14,802.55x = 22,206.56 × 4,942.82
  4. Step 4: Simplify right side
    14,802.55x = 109,763,059.70
  5. Step 5: Solve for x
    x = 109,763,059.70/14,802.55
  6. Step 6: Final answer
    x = 7,415.15

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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.