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Finding the Fourth Proportional to 14,706.45, 22,051.17 and 4,843.08

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Solution

The fourth proportional to 14,706.45, 22,051.17 and 4,843.08 is: 7,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.45 : 22,051.17 = 4,843.08 : x
  2. Step 2: Convert to fraction form
    14,706.45/22,051.17 = 4,843.08/x
  3. Step 3: Cross multiply
    14,706.45x = 22,051.17 × 4,843.08
  4. Step 4: Simplify right side
    14,706.45x = 106,795,580.40
  5. Step 5: Solve for x
    x = 106,795,580.40/14,706.45
  6. Step 6: Final answer
    x = 7,261.82

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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.