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Finding the Fourth Proportional to 19,666.99, 29,483 and 14,106.34

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Solution

The fourth proportional to 19,666.99, 29,483 and 14,106.34 is: 21,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.99 : 29,483 = 14,106.34 : x
  2. Step 2: Convert to fraction form
    19,666.99/29,483 = 14,106.34/x
  3. Step 3: Cross multiply
    19,666.99x = 29,483 × 14,106.34
  4. Step 4: Simplify right side
    19,666.99x = 415,897,222.22
  5. Step 5: Solve for x
    x = 415,897,222.22/19,666.99
  6. Step 6: Final answer
    x = 21,146.97

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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.