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Finding the Fourth Proportional to 12,890.70, 19,336.05 and 9,132.30

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Solution

The fourth proportional to 12,890.70, 19,336.05 and 9,132.30 is: 13,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.70 : 19,336.05 = 9,132.30 : x
  2. Step 2: Convert to fraction form
    12,890.70/19,336.05 = 9,132.30/x
  3. Step 3: Cross multiply
    12,890.70x = 19,336.05 × 9,132.30
  4. Step 4: Simplify right side
    12,890.70x = 176,582,609.42
  5. Step 5: Solve for x
    x = 176,582,609.42/12,890.70
  6. Step 6: Final answer
    x = 13,698.45

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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.