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Finding the Fourth Proportional to 22,701.63, 31,328.34 and 12,630.63

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Solution

The fourth proportional to 22,701.63, 31,328.34 and 12,630.63 is: 17,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.63 : 31,328.34 = 12,630.63 : x
  2. Step 2: Convert to fraction form
    22,701.63/31,328.34 = 12,630.63/x
  3. Step 3: Cross multiply
    22,701.63x = 31,328.34 × 12,630.63
  4. Step 4: Simplify right side
    22,701.63x = 395,696,671.05
  5. Step 5: Solve for x
    x = 395,696,671.05/22,701.63
  6. Step 6: Final answer
    x = 17,430.32

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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.