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Finding the Fourth Proportional to 14,405.14, 21,606.56 and 4,916.65

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Solution

The fourth proportional to 14,405.14, 21,606.56 and 4,916.65 is: 7,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.14 : 21,606.56 = 4,916.65 : x
  2. Step 2: Convert to fraction form
    14,405.14/21,606.56 = 4,916.65/x
  3. Step 3: Cross multiply
    14,405.14x = 21,606.56 × 4,916.65
  4. Step 4: Simplify right side
    14,405.14x = 106,231,814.62
  5. Step 5: Solve for x
    x = 106,231,814.62/14,405.14
  6. Step 6: Final answer
    x = 7,374.58

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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.