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Finding the Fourth Proportional to 23,705.34, 32,713.56 and 13,095.16

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Solution

The fourth proportional to 23,705.34, 32,713.56 and 13,095.16 is: 18,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.34 : 32,713.56 = 13,095.16 : x
  2. Step 2: Convert to fraction form
    23,705.34/32,713.56 = 13,095.16/x
  3. Step 3: Cross multiply
    23,705.34x = 32,713.56 × 13,095.16
  4. Step 4: Simplify right side
    23,705.34x = 428,389,302.37
  5. Step 5: Solve for x
    x = 428,389,302.37/23,705.34
  6. Step 6: Final answer
    x = 18,071.43

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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.