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Finding the Fourth Proportional to 12,853.99, 19,272.66 and 8,458.12

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Solution

The fourth proportional to 12,853.99, 19,272.66 and 8,458.12 is: 12,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.99 : 19,272.66 = 8,458.12 : x
  2. Step 2: Convert to fraction form
    12,853.99/19,272.66 = 8,458.12/x
  3. Step 3: Cross multiply
    12,853.99x = 19,272.66 × 8,458.12
  4. Step 4: Simplify right side
    12,853.99x = 163,010,471.00
  5. Step 5: Solve for x
    x = 163,010,471.00/12,853.99
  6. Step 6: Final answer
    x = 12,681.70

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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.