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Finding the Fourth Proportional to 23,705.16, 32,713.18 and 13,094.84

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Solution

The fourth proportional to 23,705.16, 32,713.18 and 13,094.84 is: 18,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.16 : 32,713.18 = 13,094.84 : x
  2. Step 2: Convert to fraction form
    23,705.16/32,713.18 = 13,094.84/x
  3. Step 3: Cross multiply
    23,705.16x = 32,713.18 × 13,094.84
  4. Step 4: Simplify right side
    23,705.16x = 428,373,857.99
  5. Step 5: Solve for x
    x = 428,373,857.99/23,705.16
  6. Step 6: Final answer
    x = 18,070.91

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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.