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Finding the Fourth Proportional to 23,696.93, 35,557.74 and 9,667.32

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Solution

The fourth proportional to 23,696.93, 35,557.74 and 9,667.32 is: 14,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.93 : 35,557.74 = 9,667.32 : x
  2. Step 2: Convert to fraction form
    23,696.93/35,557.74 = 9,667.32/x
  3. Step 3: Cross multiply
    23,696.93x = 35,557.74 × 9,667.32
  4. Step 4: Simplify right side
    23,696.93x = 343,748,051.06
  5. Step 5: Solve for x
    x = 343,748,051.06/23,696.93
  6. Step 6: Final answer
    x = 14,506.02

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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.