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Finding the Fourth Proportional to 13,229.26, 19,848.42 and 8,292.99

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Solution

The fourth proportional to 13,229.26, 19,848.42 and 8,292.99 is: 12,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.26 : 19,848.42 = 8,292.99 : x
  2. Step 2: Convert to fraction form
    13,229.26/19,848.42 = 8,292.99/x
  3. Step 3: Cross multiply
    13,229.26x = 19,848.42 × 8,292.99
  4. Step 4: Simplify right side
    13,229.26x = 164,602,748.58
  5. Step 5: Solve for x
    x = 164,602,748.58/13,229.26
  6. Step 6: Final answer
    x = 12,442.32

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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.