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Finding the Fourth Proportional to 21,123.01, 31,654.91 and 16,421.50

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Solution

The fourth proportional to 21,123.01, 31,654.91 and 16,421.50 is: 24,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.01 : 31,654.91 = 16,421.50 : x
  2. Step 2: Convert to fraction form
    21,123.01/31,654.91 = 16,421.50/x
  3. Step 3: Cross multiply
    21,123.01x = 31,654.91 × 16,421.50
  4. Step 4: Simplify right side
    21,123.01x = 519,821,022.46
  5. Step 5: Solve for x
    x = 519,821,022.46/21,123.01
  6. Step 6: Final answer
    x = 24,609.23

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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.