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Finding the Fourth Proportional to 23,048.42, 31,797.14 and 14,093.06

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Solution

The fourth proportional to 23,048.42, 31,797.14 and 14,093.06 is: 19,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.42 : 31,797.14 = 14,093.06 : x
  2. Step 2: Convert to fraction form
    23,048.42/31,797.14 = 14,093.06/x
  3. Step 3: Cross multiply
    23,048.42x = 31,797.14 × 14,093.06
  4. Step 4: Simplify right side
    23,048.42x = 448,118,772.40
  5. Step 5: Solve for x
    x = 448,118,772.40/23,048.42
  6. Step 6: Final answer
    x = 19,442.50

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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.