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Finding the Fourth Proportional to 23,758.30, 35,643.93 and 7,965.93

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Solution

The fourth proportional to 23,758.30, 35,643.93 and 7,965.93 is: 11,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.30 : 35,643.93 = 7,965.93 : x
  2. Step 2: Convert to fraction form
    23,758.30/35,643.93 = 7,965.93/x
  3. Step 3: Cross multiply
    23,758.30x = 35,643.93 × 7,965.93
  4. Step 4: Simplify right side
    23,758.30x = 283,937,051.30
  5. Step 5: Solve for x
    x = 283,937,051.30/23,758.30
  6. Step 6: Final answer
    x = 11,951.07

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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.