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Finding the Fourth Proportional to 17,829.63, 24,606.72 and 10,276.29

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Solution

The fourth proportional to 17,829.63, 24,606.72 and 10,276.29 is: 14,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.63 : 24,606.72 = 10,276.29 : x
  2. Step 2: Convert to fraction form
    17,829.63/24,606.72 = 10,276.29/x
  3. Step 3: Cross multiply
    17,829.63x = 24,606.72 × 10,276.29
  4. Step 4: Simplify right side
    17,829.63x = 252,865,790.67
  5. Step 5: Solve for x
    x = 252,865,790.67/17,829.63
  6. Step 6: Final answer
    x = 14,182.34

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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.