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Finding the Fourth Proportional to 16,596.14, 24,898.08 and 5,502.02

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Solution

The fourth proportional to 16,596.14, 24,898.08 and 5,502.02 is: 8,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.14 : 24,898.08 = 5,502.02 : x
  2. Step 2: Convert to fraction form
    16,596.14/24,898.08 = 5,502.02/x
  3. Step 3: Cross multiply
    16,596.14x = 24,898.08 × 5,502.02
  4. Step 4: Simplify right side
    16,596.14x = 136,989,734.12
  5. Step 5: Solve for x
    x = 136,989,734.12/16,596.14
  6. Step 6: Final answer
    x = 8,254.31

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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.