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Finding the Fourth Proportional to 16,750.72, 23,116.02 and 9,677.15

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Solution

The fourth proportional to 16,750.72, 23,116.02 and 9,677.15 is: 13,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750.72 : 23,116.02 = 9,677.15 : x
  2. Step 2: Convert to fraction form
    16,750.72/23,116.02 = 9,677.15/x
  3. Step 3: Cross multiply
    16,750.72x = 23,116.02 × 9,677.15
  4. Step 4: Simplify right side
    16,750.72x = 223,697,144.40
  5. Step 5: Solve for x
    x = 223,697,144.40/16,750.72
  6. Step 6: Final answer
    x = 13,354.48

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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.