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Finding the Fourth Proportional to 16,808.40, 24,235.20 and 16,808.40

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Solution

The fourth proportional to 16,808.40, 24,235.20 and 16,808.40 is: 24,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.40 : 24,235.20 = 16,808.40 : x
  2. Step 2: Convert to fraction form
    16,808.40/24,235.20 = 16,808.40/x
  3. Step 3: Cross multiply
    16,808.40x = 24,235.20 × 16,808.40
  4. Step 4: Simplify right side
    16,808.40x = 407,354,935.68
  5. Step 5: Solve for x
    x = 407,354,935.68/16,808.40
  6. Step 6: Final answer
    x = 24,235.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.