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Finding the Fourth Proportional to 23,089.73, 31,865.47 and 13,019.11

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Solution

The fourth proportional to 23,089.73, 31,865.47 and 13,019.11 is: 17,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.73 : 31,865.47 = 13,019.11 : x
  2. Step 2: Convert to fraction form
    23,089.73/31,865.47 = 13,019.11/x
  3. Step 3: Cross multiply
    23,089.73x = 31,865.47 × 13,019.11
  4. Step 4: Simplify right side
    23,089.73x = 414,860,059.13
  5. Step 5: Solve for x
    x = 414,860,059.13/23,089.73
  6. Step 6: Final answer
    x = 17,967.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.