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Finding the Fourth Proportional to 23,055.36, 31,817.02 and 12,984.16

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Solution

The fourth proportional to 23,055.36, 31,817.02 and 12,984.16 is: 17,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.36 : 31,817.02 = 12,984.16 : x
  2. Step 2: Convert to fraction form
    23,055.36/31,817.02 = 12,984.16/x
  3. Step 3: Cross multiply
    23,055.36x = 31,817.02 × 12,984.16
  4. Step 4: Simplify right side
    23,055.36x = 413,117,278.40
  5. Step 5: Solve for x
    x = 413,117,278.40/23,055.36
  6. Step 6: Final answer
    x = 17,918.49

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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.