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Finding the Fourth Proportional to 15,283.80, 22,941.15 and 7,893.54

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Solution

The fourth proportional to 15,283.80, 22,941.15 and 7,893.54 is: 11,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.80 : 22,941.15 = 7,893.54 : x
  2. Step 2: Convert to fraction form
    15,283.80/22,941.15 = 7,893.54/x
  3. Step 3: Cross multiply
    15,283.80x = 22,941.15 × 7,893.54
  4. Step 4: Simplify right side
    15,283.80x = 181,086,885.17
  5. Step 5: Solve for x
    x = 181,086,885.17/15,283.80
  6. Step 6: Final answer
    x = 11,848.29

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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.