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Finding the Fourth Proportional to 14,026.50, 21,039.75 and 7,101

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Solution

The fourth proportional to 14,026.50, 21,039.75 and 7,101 is: 10,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.50 : 21,039.75 = 7,101 : x
  2. Step 2: Convert to fraction form
    14,026.50/21,039.75 = 7,101/x
  3. Step 3: Cross multiply
    14,026.50x = 21,039.75 × 7,101
  4. Step 4: Simplify right side
    14,026.50x = 149,403,264.75
  5. Step 5: Solve for x
    x = 149,403,264.75/14,026.50
  6. Step 6: Final answer
    x = 10,651.50

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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.