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Finding the Fourth Proportional to 13,152.64, 19,741.56 and 8,232.16

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Solution

The fourth proportional to 13,152.64, 19,741.56 and 8,232.16 is: 12,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.64 : 19,741.56 = 8,232.16 : x
  2. Step 2: Convert to fraction form
    13,152.64/19,741.56 = 8,232.16/x
  3. Step 3: Cross multiply
    13,152.64x = 19,741.56 × 8,232.16
  4. Step 4: Simplify right side
    13,152.64x = 162,515,680.57
  5. Step 5: Solve for x
    x = 162,515,680.57/13,152.64
  6. Step 6: Final answer
    x = 12,356.13

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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.