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Finding the Fourth Proportional to 23,048.55, 31,804.98 and 12,838.83

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Solution

The fourth proportional to 23,048.55, 31,804.98 and 12,838.83 is: 17,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.55 : 31,804.98 = 12,838.83 : x
  2. Step 2: Convert to fraction form
    23,048.55/31,804.98 = 12,838.83/x
  3. Step 3: Cross multiply
    23,048.55x = 31,804.98 × 12,838.83
  4. Step 4: Simplify right side
    23,048.55x = 408,338,731.37
  5. Step 5: Solve for x
    x = 408,338,731.37/23,048.55
  6. Step 6: Final answer
    x = 17,716.46

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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.