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Finding the Fourth Proportional to 23,705.76, 32,712.74 and 13,093.34

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Solution

The fourth proportional to 23,705.76, 32,712.74 and 13,093.34 is: 18,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.76 : 32,712.74 = 13,093.34 : x
  2. Step 2: Convert to fraction form
    23,705.76/32,712.74 = 13,093.34/x
  3. Step 3: Cross multiply
    23,705.76x = 32,712.74 × 13,093.34
  4. Step 4: Simplify right side
    23,705.76x = 428,319,027.15
  5. Step 5: Solve for x
    x = 428,319,027.15/23,705.76
  6. Step 6: Final answer
    x = 18,068.14

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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.