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Finding the Fourth Proportional to 16,750.49, 23,114.04 and 9,676.76

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Solution

The fourth proportional to 16,750.49, 23,114.04 and 9,676.76 is: 13,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750.49 : 23,114.04 = 9,676.76 : x
  2. Step 2: Convert to fraction form
    16,750.49/23,114.04 = 9,676.76/x
  3. Step 3: Cross multiply
    16,750.49x = 23,114.04 × 9,676.76
  4. Step 4: Simplify right side
    16,750.49x = 223,669,017.71
  5. Step 5: Solve for x
    x = 223,669,017.71/16,750.49
  6. Step 6: Final answer
    x = 13,352.98

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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.