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Finding the Fourth Proportional to 14,946.31, 22,423.14 and 4,416.27

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Solution

The fourth proportional to 14,946.31, 22,423.14 and 4,416.27 is: 6,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.31 : 22,423.14 = 4,416.27 : x
  2. Step 2: Convert to fraction form
    14,946.31/22,423.14 = 4,416.27/x
  3. Step 3: Cross multiply
    14,946.31x = 22,423.14 × 4,416.27
  4. Step 4: Simplify right side
    14,946.31x = 99,026,640.49
  5. Step 5: Solve for x
    x = 99,026,640.49/14,946.31
  6. Step 6: Final answer
    x = 6,625.49

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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.