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Finding the Fourth Proportional to 20,886.34, 31,328.08 and 9,795.50

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Solution

The fourth proportional to 20,886.34, 31,328.08 and 9,795.50 is: 14,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.34 : 31,328.08 = 9,795.50 : x
  2. Step 2: Convert to fraction form
    20,886.34/31,328.08 = 9,795.50/x
  3. Step 3: Cross multiply
    20,886.34x = 31,328.08 × 9,795.50
  4. Step 4: Simplify right side
    20,886.34x = 306,874,207.64
  5. Step 5: Solve for x
    x = 306,874,207.64/20,886.34
  6. Step 6: Final answer
    x = 14,692.58

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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.