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Finding the Fourth Proportional to 23,534.16, 35,283 and 20,409.84

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Solution

The fourth proportional to 23,534.16, 35,283 and 20,409.84 is: 30,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.16 : 35,283 = 20,409.84 : x
  2. Step 2: Convert to fraction form
    23,534.16/35,283 = 20,409.84/x
  3. Step 3: Cross multiply
    23,534.16x = 35,283 × 20,409.84
  4. Step 4: Simplify right side
    23,534.16x = 720,120,384.72
  5. Step 5: Solve for x
    x = 720,120,384.72/23,534.16
  6. Step 6: Final answer
    x = 30,598.94

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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.