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Finding the Fourth Proportional to 14,448.50, 21,676.07 and 6,128.84

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Solution

The fourth proportional to 14,448.50, 21,676.07 and 6,128.84 is: 9,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.50 : 21,676.07 = 6,128.84 : x
  2. Step 2: Convert to fraction form
    14,448.50/21,676.07 = 6,128.84/x
  3. Step 3: Cross multiply
    14,448.50x = 21,676.07 × 6,128.84
  4. Step 4: Simplify right side
    14,448.50x = 132,849,025.83
  5. Step 5: Solve for x
    x = 132,849,025.83/14,448.50
  6. Step 6: Final answer
    x = 9,194.66

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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.