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Finding the Fourth Proportional to 27,220.70, 37,564.62 and 15,284

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Solution

The fourth proportional to 27,220.70, 37,564.62 and 15,284 is: 21,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220.70 : 37,564.62 = 15,284 : x
  2. Step 2: Convert to fraction form
    27,220.70/37,564.62 = 15,284/x
  3. Step 3: Cross multiply
    27,220.70x = 37,564.62 × 15,284
  4. Step 4: Simplify right side
    27,220.70x = 574,137,652.08
  5. Step 5: Solve for x
    x = 574,137,652.08/27,220.70
  6. Step 6: Final answer
    x = 21,091.95

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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.