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Finding the Fourth Proportional to 28,647.36, 42,987.72 and 12,006

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Solution

The fourth proportional to 28,647.36, 42,987.72 and 12,006 is: 18,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647.36 : 42,987.72 = 12,006 : x
  2. Step 2: Convert to fraction form
    28,647.36/42,987.72 = 12,006/x
  3. Step 3: Cross multiply
    28,647.36x = 42,987.72 × 12,006
  4. Step 4: Simplify right side
    28,647.36x = 516,110,566.32
  5. Step 5: Solve for x
    x = 516,110,566.32/28,647.36
  6. Step 6: Final answer
    x = 18,015.99

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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.