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Finding the Fourth Proportional to 14,428.10, 21,642.94 and 4,566.65

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Solution

The fourth proportional to 14,428.10, 21,642.94 and 4,566.65 is: 6,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.10 : 21,642.94 = 4,566.65 : x
  2. Step 2: Convert to fraction form
    14,428.10/21,642.94 = 4,566.65/x
  3. Step 3: Cross multiply
    14,428.10x = 21,642.94 × 4,566.65
  4. Step 4: Simplify right side
    14,428.10x = 98,835,629.44
  5. Step 5: Solve for x
    x = 98,835,629.44/14,428.10
  6. Step 6: Final answer
    x = 6,850.22

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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.