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Finding the Fourth Proportional to 23,078.68, 31,848.59 and 12,468.31

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Solution

The fourth proportional to 23,078.68, 31,848.59 and 12,468.31 is: 17,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.68 : 31,848.59 = 12,468.31 : x
  2. Step 2: Convert to fraction form
    23,078.68/31,848.59 = 12,468.31/x
  3. Step 3: Cross multiply
    23,078.68x = 31,848.59 × 12,468.31
  4. Step 4: Simplify right side
    23,078.68x = 397,097,951.22
  5. Step 5: Solve for x
    x = 397,097,951.22/23,078.68
  6. Step 6: Final answer
    x = 17,206.27

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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.