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Finding the Fourth Proportional to 14,276.17, 21,414.73 and 4,916.09

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Solution

The fourth proportional to 14,276.17, 21,414.73 and 4,916.09 is: 7,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.17 : 21,414.73 = 4,916.09 : x
  2. Step 2: Convert to fraction form
    14,276.17/21,414.73 = 4,916.09/x
  3. Step 3: Cross multiply
    14,276.17x = 21,414.73 × 4,916.09
  4. Step 4: Simplify right side
    14,276.17x = 105,276,740.01
  5. Step 5: Solve for x
    x = 105,276,740.01/14,276.17
  6. Step 6: Final answer
    x = 7,374.30

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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.