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Finding the Fourth Proportional to 12,716.16, 19,052.16 and 8,024.64

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Solution

The fourth proportional to 12,716.16, 19,052.16 and 8,024.64 is: 12,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.16 : 19,052.16 = 8,024.64 : x
  2. Step 2: Convert to fraction form
    12,716.16/19,052.16 = 8,024.64/x
  3. Step 3: Cross multiply
    12,716.16x = 19,052.16 × 8,024.64
  4. Step 4: Simplify right side
    12,716.16x = 152,886,725.22
  5. Step 5: Solve for x
    x = 152,886,725.22/12,716.16
  6. Step 6: Final answer
    x = 12,023.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.