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Finding the Fourth Proportional to 16,823.40, 24,256.80 and 16,823.40

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Solution

The fourth proportional to 16,823.40, 24,256.80 and 16,823.40 is: 24,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.40 : 24,256.80 = 16,823.40 : x
  2. Step 2: Convert to fraction form
    16,823.40/24,256.80 = 16,823.40/x
  3. Step 3: Cross multiply
    16,823.40x = 24,256.80 × 16,823.40
  4. Step 4: Simplify right side
    16,823.40x = 408,081,849.12
  5. Step 5: Solve for x
    x = 408,081,849.12/16,823.40
  6. Step 6: Final answer
    x = 24,256.80

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