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Finding the Fourth Proportional to 22,394, 30,898.86 and 14,434.40

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Solution

The fourth proportional to 22,394, 30,898.86 and 14,434.40 is: 19,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 30,898.86 = 14,434.40 : x
  2. Step 2: Convert to fraction form
    22,394/30,898.86 = 14,434.40/x
  3. Step 3: Cross multiply
    22,394x = 30,898.86 × 14,434.40
  4. Step 4: Simplify right side
    22,394x = 446,006,504.78
  5. Step 5: Solve for x
    x = 446,006,504.78/22,394
  6. Step 6: Final answer
    x = 19,916.34

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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.