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Finding the Fourth Proportional to 30,823.84, 42,537.17 and 16,676.96

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Solution

The fourth proportional to 30,823.84, 42,537.17 and 16,676.96 is: 23,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.84 : 42,537.17 = 16,676.96 : x
  2. Step 2: Convert to fraction form
    30,823.84/42,537.17 = 16,676.96/x
  3. Step 3: Cross multiply
    30,823.84x = 42,537.17 × 16,676.96
  4. Step 4: Simplify right side
    30,823.84x = 709,390,599.22
  5. Step 5: Solve for x
    x = 709,390,599.22/30,823.84
  6. Step 6: Final answer
    x = 23,014.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.