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Finding the Fourth Proportional to 12,800.34, 17,664.54 and 7,423.83

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Solution

The fourth proportional to 12,800.34, 17,664.54 and 7,423.83 is: 10,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.34 : 17,664.54 = 7,423.83 : x
  2. Step 2: Convert to fraction form
    12,800.34/17,664.54 = 7,423.83/x
  3. Step 3: Cross multiply
    12,800.34x = 17,664.54 × 7,423.83
  4. Step 4: Simplify right side
    12,800.34x = 131,138,541.99
  5. Step 5: Solve for x
    x = 131,138,541.99/12,800.34
  6. Step 6: Final answer
    x = 10,244.93

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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.