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Finding the Fourth Proportional to 19,459.91, 29,083.24 and 14,205.98

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Solution

The fourth proportional to 19,459.91, 29,083.24 and 14,205.98 is: 21,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.91 : 29,083.24 = 14,205.98 : x
  2. Step 2: Convert to fraction form
    19,459.91/29,083.24 = 14,205.98/x
  3. Step 3: Cross multiply
    19,459.91x = 29,083.24 × 14,205.98
  4. Step 4: Simplify right side
    19,459.91x = 413,155,961.49
  5. Step 5: Solve for x
    x = 413,155,961.49/19,459.91
  6. Step 6: Final answer
    x = 21,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.