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Finding the Fourth Proportional to 16,495.24, 24,745.74 and 7,261

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Solution

The fourth proportional to 16,495.24, 24,745.74 and 7,261 is: 10,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.24 : 24,745.74 = 7,261 : x
  2. Step 2: Convert to fraction form
    16,495.24/24,745.74 = 7,261/x
  3. Step 3: Cross multiply
    16,495.24x = 24,745.74 × 7,261
  4. Step 4: Simplify right side
    16,495.24x = 179,678,818.14
  5. Step 5: Solve for x
    x = 179,678,818.14/16,495.24
  6. Step 6: Final answer
    x = 10,892.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.