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Finding the Fourth Proportional to 23,758.16, 35,637.26 and 7,119.95

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Solution

The fourth proportional to 23,758.16, 35,637.26 and 7,119.95 is: 10,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.16 : 35,637.26 = 7,119.95 : x
  2. Step 2: Convert to fraction form
    23,758.16/35,637.26 = 7,119.95/x
  3. Step 3: Cross multiply
    23,758.16x = 35,637.26 × 7,119.95
  4. Step 4: Simplify right side
    23,758.16x = 253,735,295.55
  5. Step 5: Solve for x
    x = 253,735,295.55/23,758.16
  6. Step 6: Final answer
    x = 10,679.92

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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.