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Finding the Fourth Proportional to 12,531.44, 18,784.74 and 6,987.32

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Solution

The fourth proportional to 12,531.44, 18,784.74 and 6,987.32 is: 10,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.44 : 18,784.74 = 6,987.32 : x
  2. Step 2: Convert to fraction form
    12,531.44/18,784.74 = 6,987.32/x
  3. Step 3: Cross multiply
    12,531.44x = 18,784.74 × 6,987.32
  4. Step 4: Simplify right side
    12,531.44x = 131,254,989.50
  5. Step 5: Solve for x
    x = 131,254,989.50/12,531.44
  6. Step 6: Final answer
    x = 10,474.05

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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.