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Finding the Fourth Proportional to 23,886.88, 35,830.31 and 8,304.50

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Solution

The fourth proportional to 23,886.88, 35,830.31 and 8,304.50 is: 12,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.88 : 35,830.31 = 8,304.50 : x
  2. Step 2: Convert to fraction form
    23,886.88/35,830.31 = 8,304.50/x
  3. Step 3: Cross multiply
    23,886.88x = 35,830.31 × 8,304.50
  4. Step 4: Simplify right side
    23,886.88x = 297,552,809.40
  5. Step 5: Solve for x
    x = 297,552,809.40/23,886.88
  6. Step 6: Final answer
    x = 12,456.75

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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.