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Finding the Fourth Proportional to 23,826.84, 35,732.04 and 9,782.94

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Solution

The fourth proportional to 23,826.84, 35,732.04 and 9,782.94 is: 14,671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.84 : 35,732.04 = 9,782.94 : x
  2. Step 2: Convert to fraction form
    23,826.84/35,732.04 = 9,782.94/x
  3. Step 3: Cross multiply
    23,826.84x = 35,732.04 × 9,782.94
  4. Step 4: Simplify right side
    23,826.84x = 349,564,403.40
  5. Step 5: Solve for x
    x = 349,564,403.40/23,826.84
  6. Step 6: Final answer
    x = 14,671.03

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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.