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Finding the Fourth Proportional to 19,459.45, 29,142.34 and 11,114.16

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Solution

The fourth proportional to 19,459.45, 29,142.34 and 11,114.16 is: 16,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.45 : 29,142.34 = 11,114.16 : x
  2. Step 2: Convert to fraction form
    19,459.45/29,142.34 = 11,114.16/x
  3. Step 3: Cross multiply
    19,459.45x = 29,142.34 × 11,114.16
  4. Step 4: Simplify right side
    19,459.45x = 323,892,629.53
  5. Step 5: Solve for x
    x = 323,892,629.53/19,459.45
  6. Step 6: Final answer
    x = 16,644.49

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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.