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Finding the Fourth Proportional to 28,852.78, 43,284.44 and 13,270

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Solution

The fourth proportional to 28,852.78, 43,284.44 and 13,270 is: 19,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,852.78 : 43,284.44 = 13,270 : x
  2. Step 2: Convert to fraction form
    28,852.78/43,284.44 = 13,270/x
  3. Step 3: Cross multiply
    28,852.78x = 43,284.44 × 13,270
  4. Step 4: Simplify right side
    28,852.78x = 574,384,518.80
  5. Step 5: Solve for x
    x = 574,384,518.80/28,852.78
  6. Step 6: Final answer
    x = 19,907.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.