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Finding the Fourth Proportional to 13,208.19, 19,825.31 and 8,978.50

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Solution

The fourth proportional to 13,208.19, 19,825.31 and 8,978.50 is: 13,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.19 : 19,825.31 = 8,978.50 : x
  2. Step 2: Convert to fraction form
    13,208.19/19,825.31 = 8,978.50/x
  3. Step 3: Cross multiply
    13,208.19x = 19,825.31 × 8,978.50
  4. Step 4: Simplify right side
    13,208.19x = 178,001,545.84
  5. Step 5: Solve for x
    x = 178,001,545.84/13,208.19
  6. Step 6: Final answer
    x = 13,476.60

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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.