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Finding the Fourth Proportional to 17,783.46, 24,541.20 and 10,230.30

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Solution

The fourth proportional to 17,783.46, 24,541.20 and 10,230.30 is: 14,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.46 : 24,541.20 = 10,230.30 : x
  2. Step 2: Convert to fraction form
    17,783.46/24,541.20 = 10,230.30/x
  3. Step 3: Cross multiply
    17,783.46x = 24,541.20 × 10,230.30
  4. Step 4: Simplify right side
    17,783.46x = 251,063,838.36
  5. Step 5: Solve for x
    x = 251,063,838.36/17,783.46
  6. Step 6: Final answer
    x = 14,117.83

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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.