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Finding the Fourth Proportional to 23,114.02, 31,894.95 and 13,043.02

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Solution

The fourth proportional to 23,114.02, 31,894.95 and 13,043.02 is: 17,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.02 : 31,894.95 = 13,043.02 : x
  2. Step 2: Convert to fraction form
    23,114.02/31,894.95 = 13,043.02/x
  3. Step 3: Cross multiply
    23,114.02x = 31,894.95 × 13,043.02
  4. Step 4: Simplify right side
    23,114.02x = 416,006,470.75
  5. Step 5: Solve for x
    x = 416,006,470.75/23,114.02
  6. Step 6: Final answer
    x = 17,998.01

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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.