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Finding the Fourth Proportional to 14,429.61, 21,652.11 and 5,664.60

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Solution

The fourth proportional to 14,429.61, 21,652.11 and 5,664.60 is: 8,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.61 : 21,652.11 = 5,664.60 : x
  2. Step 2: Convert to fraction form
    14,429.61/21,652.11 = 5,664.60/x
  3. Step 3: Cross multiply
    14,429.61x = 21,652.11 × 5,664.60
  4. Step 4: Simplify right side
    14,429.61x = 122,650,542.31
  5. Step 5: Solve for x
    x = 122,650,542.31/14,429.61
  6. Step 6: Final answer
    x = 8,499.92

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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.