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Finding the Fourth Proportional to 13,000.30, 19,519.65 and 10,081.90

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Solution

The fourth proportional to 13,000.30, 19,519.65 and 10,081.90 is: 15,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.30 : 19,519.65 = 10,081.90 : x
  2. Step 2: Convert to fraction form
    13,000.30/19,519.65 = 10,081.90/x
  3. Step 3: Cross multiply
    13,000.30x = 19,519.65 × 10,081.90
  4. Step 4: Simplify right side
    13,000.30x = 196,795,159.34
  5. Step 5: Solve for x
    x = 196,795,159.34/13,000.30
  6. Step 6: Final answer
    x = 15,137.74

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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.