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Finding the Fourth Proportional to 16,602.83, 24,907.88 and 4,916.96

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Solution

The fourth proportional to 16,602.83, 24,907.88 and 4,916.96 is: 7,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.83 : 24,907.88 = 4,916.96 : x
  2. Step 2: Convert to fraction form
    16,602.83/24,907.88 = 4,916.96/x
  3. Step 3: Cross multiply
    16,602.83x = 24,907.88 × 4,916.96
  4. Step 4: Simplify right side
    16,602.83x = 122,471,049.64
  5. Step 5: Solve for x
    x = 122,471,049.64/16,602.83
  6. Step 6: Final answer
    x = 7,376.52

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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.