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Finding the Fourth Proportional to 23,052.48, 31,813.44 and 12,980.93

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Solution

The fourth proportional to 23,052.48, 31,813.44 and 12,980.93 is: 17,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.48 : 31,813.44 = 12,980.93 : x
  2. Step 2: Convert to fraction form
    23,052.48/31,813.44 = 12,980.93/x
  3. Step 3: Cross multiply
    23,052.48x = 31,813.44 × 12,980.93
  4. Step 4: Simplify right side
    23,052.48x = 412,967,878.63
  5. Step 5: Solve for x
    x = 412,967,878.63/23,052.48
  6. Step 6: Final answer
    x = 17,914.25

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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.