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Finding the Fourth Proportional to 12,678.10, 19,013.16 and 5,280.64

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Solution

The fourth proportional to 12,678.10, 19,013.16 and 5,280.64 is: 7,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.10 : 19,013.16 = 5,280.64 : x
  2. Step 2: Convert to fraction form
    12,678.10/19,013.16 = 5,280.64/x
  3. Step 3: Cross multiply
    12,678.10x = 19,013.16 × 5,280.64
  4. Step 4: Simplify right side
    12,678.10x = 100,401,653.22
  5. Step 5: Solve for x
    x = 100,401,653.22/12,678.10
  6. Step 6: Final answer
    x = 7,919.30

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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.