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Finding the Fourth Proportional to 13,113.18, 19,677.96 and 5,321.99

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Solution

The fourth proportional to 13,113.18, 19,677.96 and 5,321.99 is: 7,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.18 : 19,677.96 = 5,321.99 : x
  2. Step 2: Convert to fraction form
    13,113.18/19,677.96 = 5,321.99/x
  3. Step 3: Cross multiply
    13,113.18x = 19,677.96 × 5,321.99
  4. Step 4: Simplify right side
    13,113.18x = 104,725,877.10
  5. Step 5: Solve for x
    x = 104,725,877.10/13,113.18
  6. Step 6: Final answer
    x = 7,986.31

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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.