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Finding the Fourth Proportional to 28,647.80, 42,971.70 and 12,002.30

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Solution

The fourth proportional to 28,647.80, 42,971.70 and 12,002.30 is: 18,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647.80 : 42,971.70 = 12,002.30 : x
  2. Step 2: Convert to fraction form
    28,647.80/42,971.70 = 12,002.30/x
  3. Step 3: Cross multiply
    28,647.80x = 42,971.70 × 12,002.30
  4. Step 4: Simplify right side
    28,647.80x = 515,759,234.91
  5. Step 5: Solve for x
    x = 515,759,234.91/28,647.80
  6. Step 6: Final answer
    x = 18,003.45

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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.