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Finding the Fourth Proportional to 12,851.88, 19,284.54 and 7,007.40

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Solution

The fourth proportional to 12,851.88, 19,284.54 and 7,007.40 is: 10,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.88 : 19,284.54 = 7,007.40 : x
  2. Step 2: Convert to fraction form
    12,851.88/19,284.54 = 7,007.40/x
  3. Step 3: Cross multiply
    12,851.88x = 19,284.54 × 7,007.40
  4. Step 4: Simplify right side
    12,851.88x = 135,134,485.60
  5. Step 5: Solve for x
    x = 135,134,485.60/12,851.88
  6. Step 6: Final answer
    x = 10,514.76

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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.