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Finding the Fourth Proportional to 21,174.79, 29,222.54 and 12,223.93

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Solution

The fourth proportional to 21,174.79, 29,222.54 and 12,223.93 is: 16,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.79 : 29,222.54 = 12,223.93 : x
  2. Step 2: Convert to fraction form
    21,174.79/29,222.54 = 12,223.93/x
  3. Step 3: Cross multiply
    21,174.79x = 29,222.54 × 12,223.93
  4. Step 4: Simplify right side
    21,174.79x = 357,214,283.38
  5. Step 5: Solve for x
    x = 357,214,283.38/21,174.79
  6. Step 6: Final answer
    x = 16,869.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.