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Finding the Fourth Proportional to 23,165.68, 31,970.27 and 13,094.19

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Solution

The fourth proportional to 23,165.68, 31,970.27 and 13,094.19 is: 18,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165.68 : 31,970.27 = 13,094.19 : x
  2. Step 2: Convert to fraction form
    23,165.68/31,970.27 = 13,094.19/x
  3. Step 3: Cross multiply
    23,165.68x = 31,970.27 × 13,094.19
  4. Step 4: Simplify right side
    23,165.68x = 418,624,724.26
  5. Step 5: Solve for x
    x = 418,624,724.26/23,165.68
  6. Step 6: Final answer
    x = 18,070.90

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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.