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Finding the Fourth Proportional to 22,647.97, 33,985.74 and 14,316.49

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Solution

The fourth proportional to 22,647.97, 33,985.74 and 14,316.49 is: 21,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.97 : 33,985.74 = 14,316.49 : x
  2. Step 2: Convert to fraction form
    22,647.97/33,985.74 = 14,316.49/x
  3. Step 3: Cross multiply
    22,647.97x = 33,985.74 × 14,316.49
  4. Step 4: Simplify right side
    22,647.97x = 486,556,506.85
  5. Step 5: Solve for x
    x = 486,556,506.85/22,647.97
  6. Step 6: Final answer
    x = 21,483.45

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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.