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Finding the Fourth Proportional to 15,785.02, 23,692.08 and 7,999.30

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Solution

The fourth proportional to 15,785.02, 23,692.08 and 7,999.30 is: 12,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.02 : 23,692.08 = 7,999.30 : x
  2. Step 2: Convert to fraction form
    15,785.02/23,692.08 = 7,999.30/x
  3. Step 3: Cross multiply
    15,785.02x = 23,692.08 × 7,999.30
  4. Step 4: Simplify right side
    15,785.02x = 189,520,055.54
  5. Step 5: Solve for x
    x = 189,520,055.54/15,785.02
  6. Step 6: Final answer
    x = 12,006.32

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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.