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Finding the Fourth Proportional to 23,822.84, 35,731.70 and 9,784.34

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Solution

The fourth proportional to 23,822.84, 35,731.70 and 9,784.34 is: 14,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.84 : 35,731.70 = 9,784.34 : x
  2. Step 2: Convert to fraction form
    23,822.84/35,731.70 = 9,784.34/x
  3. Step 3: Cross multiply
    23,822.84x = 35,731.70 × 9,784.34
  4. Step 4: Simplify right side
    23,822.84x = 349,611,101.58
  5. Step 5: Solve for x
    x = 349,611,101.58/23,822.84
  6. Step 6: Final answer
    x = 14,675.46

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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.