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Finding the Fourth Proportional to 13,000.78, 19,499.01 and 4,679.14

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Solution

The fourth proportional to 13,000.78, 19,499.01 and 4,679.14 is: 7,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.78 : 19,499.01 = 4,679.14 : x
  2. Step 2: Convert to fraction form
    13,000.78/19,499.01 = 4,679.14/x
  3. Step 3: Cross multiply
    13,000.78x = 19,499.01 × 4,679.14
  4. Step 4: Simplify right side
    13,000.78x = 91,238,597.65
  5. Step 5: Solve for x
    x = 91,238,597.65/13,000.78
  6. Step 6: Final answer
    x = 7,017.93

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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.