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Finding the Fourth Proportional to 12,894.70, 19,342.05 and 9,136.30

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Solution

The fourth proportional to 12,894.70, 19,342.05 and 9,136.30 is: 13,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.70 : 19,342.05 = 9,136.30 : x
  2. Step 2: Convert to fraction form
    12,894.70/19,342.05 = 9,136.30/x
  3. Step 3: Cross multiply
    12,894.70x = 19,342.05 × 9,136.30
  4. Step 4: Simplify right side
    12,894.70x = 176,714,771.42
  5. Step 5: Solve for x
    x = 176,714,771.42/12,894.70
  6. Step 6: Final answer
    x = 13,704.45

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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.