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Finding the Fourth Proportional to 14,107.50, 21,158.54 and 7,085.63

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Solution

The fourth proportional to 14,107.50, 21,158.54 and 7,085.63 is: 10,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.50 : 21,158.54 = 7,085.63 : x
  2. Step 2: Convert to fraction form
    14,107.50/21,158.54 = 7,085.63/x
  3. Step 3: Cross multiply
    14,107.50x = 21,158.54 × 7,085.63
  4. Step 4: Simplify right side
    14,107.50x = 149,921,664.62
  5. Step 5: Solve for x
    x = 149,921,664.62/14,107.50
  6. Step 6: Final answer
    x = 10,627.09

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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.