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Finding the Fourth Proportional to 14,588.48, 21,882.48 and 4,200.20

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Solution

The fourth proportional to 14,588.48, 21,882.48 and 4,200.20 is: 6,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.48 : 21,882.48 = 4,200.20 : x
  2. Step 2: Convert to fraction form
    14,588.48/21,882.48 = 4,200.20/x
  3. Step 3: Cross multiply
    14,588.48x = 21,882.48 × 4,200.20
  4. Step 4: Simplify right side
    14,588.48x = 91,910,792.50
  5. Step 5: Solve for x
    x = 91,910,792.50/14,588.48
  6. Step 6: Final answer
    x = 6,300.23

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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.