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Finding the Fourth Proportional to 12,813.10, 19,234.05 and 9,904.30

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Solution

The fourth proportional to 12,813.10, 19,234.05 and 9,904.30 is: 14,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.10 : 19,234.05 = 9,904.30 : x
  2. Step 2: Convert to fraction form
    12,813.10/19,234.05 = 9,904.30/x
  3. Step 3: Cross multiply
    12,813.10x = 19,234.05 × 9,904.30
  4. Step 4: Simplify right side
    12,813.10x = 190,499,801.42
  5. Step 5: Solve for x
    x = 190,499,801.42/12,813.10
  6. Step 6: Final answer
    x = 14,867.58

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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.