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Finding the Fourth Proportional to 16,077.10, 24,115.65 and 10,828.30

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Solution

The fourth proportional to 16,077.10, 24,115.65 and 10,828.30 is: 16,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.10 : 24,115.65 = 10,828.30 : x
  2. Step 2: Convert to fraction form
    16,077.10/24,115.65 = 10,828.30/x
  3. Step 3: Cross multiply
    16,077.10x = 24,115.65 × 10,828.30
  4. Step 4: Simplify right side
    16,077.10x = 261,131,492.90
  5. Step 5: Solve for x
    x = 261,131,492.90/16,077.10
  6. Step 6: Final answer
    x = 16,242.45

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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.