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Finding the Fourth Proportional to 14,420.09, 21,630.09 and 5,648.87

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Solution

The fourth proportional to 14,420.09, 21,630.09 and 5,648.87 is: 8,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.09 : 21,630.09 = 5,648.87 : x
  2. Step 2: Convert to fraction form
    14,420.09/21,630.09 = 5,648.87/x
  3. Step 3: Cross multiply
    14,420.09x = 21,630.09 × 5,648.87
  4. Step 4: Simplify right side
    14,420.09x = 122,185,566.50
  5. Step 5: Solve for x
    x = 122,185,566.50/14,420.09
  6. Step 6: Final answer
    x = 8,473.29

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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.