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Finding the Fourth Proportional to 16,828.86, 23,223.69 and 9,275.49

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Solution

The fourth proportional to 16,828.86, 23,223.69 and 9,275.49 is: 12,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.86 : 23,223.69 = 9,275.49 : x
  2. Step 2: Convert to fraction form
    16,828.86/23,223.69 = 9,275.49/x
  3. Step 3: Cross multiply
    16,828.86x = 23,223.69 × 9,275.49
  4. Step 4: Simplify right side
    16,828.86x = 215,411,104.36
  5. Step 5: Solve for x
    x = 215,411,104.36/16,828.86
  6. Step 6: Final answer
    x = 12,800.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.