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Finding the Fourth Proportional to 16,409.01, 24,612.32 and 6,411.88

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Solution

The fourth proportional to 16,409.01, 24,612.32 and 6,411.88 is: 9,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.01 : 24,612.32 = 6,411.88 : x
  2. Step 2: Convert to fraction form
    16,409.01/24,612.32 = 6,411.88/x
  3. Step 3: Cross multiply
    16,409.01x = 24,612.32 × 6,411.88
  4. Step 4: Simplify right side
    16,409.01x = 157,811,265.11
  5. Step 5: Solve for x
    x = 157,811,265.11/16,409.01
  6. Step 6: Final answer
    x = 9,617.36

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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.