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Finding the Fourth Proportional to 23,705.32, 35,557.97 and 7,064.93

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Solution

The fourth proportional to 23,705.32, 35,557.97 and 7,064.93 is: 10,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.32 : 35,557.97 = 7,064.93 : x
  2. Step 2: Convert to fraction form
    23,705.32/35,557.97 = 7,064.93/x
  3. Step 3: Cross multiply
    23,705.32x = 35,557.97 × 7,064.93
  4. Step 4: Simplify right side
    23,705.32x = 251,214,355.88
  5. Step 5: Solve for x
    x = 251,214,355.88/23,705.32
  6. Step 6: Final answer
    x = 10,597.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.