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Finding the Fourth Proportional to 16,829.84, 25,257.72 and 7,602.32

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Solution

The fourth proportional to 16,829.84, 25,257.72 and 7,602.32 is: 11,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.84 : 25,257.72 = 7,602.32 : x
  2. Step 2: Convert to fraction form
    16,829.84/25,257.72 = 7,602.32/x
  3. Step 3: Cross multiply
    16,829.84x = 25,257.72 × 7,602.32
  4. Step 4: Simplify right side
    16,829.84x = 192,017,269.91
  5. Step 5: Solve for x
    x = 192,017,269.91/16,829.84
  6. Step 6: Final answer
    x = 11,409.33

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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.