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Finding the Fourth Proportional to 13,120.96, 19,684.51 and 5,223.95

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Solution

The fourth proportional to 13,120.96, 19,684.51 and 5,223.95 is: 7,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.96 : 19,684.51 = 5,223.95 : x
  2. Step 2: Convert to fraction form
    13,120.96/19,684.51 = 5,223.95/x
  3. Step 3: Cross multiply
    13,120.96x = 19,684.51 × 5,223.95
  4. Step 4: Simplify right side
    13,120.96x = 102,830,932.17
  5. Step 5: Solve for x
    x = 102,830,932.17/13,120.96
  6. Step 6: Final answer
    x = 7,837.15

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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.