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Finding the Fourth Proportional to 12,898.37, 19,347.56 and 8,514.80

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Solution

The fourth proportional to 12,898.37, 19,347.56 and 8,514.80 is: 12,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.37 : 19,347.56 = 8,514.80 : x
  2. Step 2: Convert to fraction form
    12,898.37/19,347.56 = 8,514.80/x
  3. Step 3: Cross multiply
    12,898.37x = 19,347.56 × 8,514.80
  4. Step 4: Simplify right side
    12,898.37x = 164,740,561.31
  5. Step 5: Solve for x
    x = 164,740,561.31/12,898.37
  6. Step 6: Final answer
    x = 12,772.20

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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.