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Finding the Fourth Proportional to 12,840.98, 19,267.56 and 8,898.30

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Solution

The fourth proportional to 12,840.98, 19,267.56 and 8,898.30 is: 13,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.98 : 19,267.56 = 8,898.30 : x
  2. Step 2: Convert to fraction form
    12,840.98/19,267.56 = 8,898.30/x
  3. Step 3: Cross multiply
    12,840.98x = 19,267.56 × 8,898.30
  4. Step 4: Simplify right side
    12,840.98x = 171,448,529.15
  5. Step 5: Solve for x
    x = 171,448,529.15/12,840.98
  6. Step 6: Final answer
    x = 13,351.68

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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.