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Finding the Fourth Proportional to 14,563.76, 21,827.40 and 6,233.96

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Solution

The fourth proportional to 14,563.76, 21,827.40 and 6,233.96 is: 9,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.76 : 21,827.40 = 6,233.96 : x
  2. Step 2: Convert to fraction form
    14,563.76/21,827.40 = 6,233.96/x
  3. Step 3: Cross multiply
    14,563.76x = 21,827.40 × 6,233.96
  4. Step 4: Simplify right side
    14,563.76x = 136,071,138.50
  5. Step 5: Solve for x
    x = 136,071,138.50/14,563.76
  6. Step 6: Final answer
    x = 9,343.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.