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Finding the Fourth Proportional to 12,842.98, 19,263.09 and 8,709.52

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Solution

The fourth proportional to 12,842.98, 19,263.09 and 8,709.52 is: 13,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.98 : 19,263.09 = 8,709.52 : x
  2. Step 2: Convert to fraction form
    12,842.98/19,263.09 = 8,709.52/x
  3. Step 3: Cross multiply
    12,842.98x = 19,263.09 × 8,709.52
  4. Step 4: Simplify right side
    12,842.98x = 167,772,267.62
  5. Step 5: Solve for x
    x = 167,772,267.62/12,842.98
  6. Step 6: Final answer
    x = 13,063.34

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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.