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Finding the Fourth Proportional to 13,098.36, 19,645.59 and 4,776.42

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Solution

The fourth proportional to 13,098.36, 19,645.59 and 4,776.42 is: 7,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.36 : 19,645.59 = 4,776.42 : x
  2. Step 2: Convert to fraction form
    13,098.36/19,645.59 = 4,776.42/x
  3. Step 3: Cross multiply
    13,098.36x = 19,645.59 × 4,776.42
  4. Step 4: Simplify right side
    13,098.36x = 93,835,588.99
  5. Step 5: Solve for x
    x = 93,835,588.99/13,098.36
  6. Step 6: Final answer
    x = 7,163.92

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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.