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Finding the Fourth Proportional to 15,200, 22,851.84 and 13,970.96

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Solution

The fourth proportional to 15,200, 22,851.84 and 13,970.96 is: 21,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 22,851.84 = 13,970.96 : x
  2. Step 2: Convert to fraction form
    15,200/22,851.84 = 13,970.96/x
  3. Step 3: Cross multiply
    15,200x = 22,851.84 × 13,970.96
  4. Step 4: Simplify right side
    15,200x = 319,262,142.57
  5. Step 5: Solve for x
    x = 319,262,142.57/15,200
  6. Step 6: Final answer
    x = 21,004.09

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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.