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Finding the Fourth Proportional to 17,828.49, 24,602.50 and 10,276.17

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Solution

The fourth proportional to 17,828.49, 24,602.50 and 10,276.17 is: 14,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.49 : 24,602.50 = 10,276.17 : x
  2. Step 2: Convert to fraction form
    17,828.49/24,602.50 = 10,276.17/x
  3. Step 3: Cross multiply
    17,828.49x = 24,602.50 × 10,276.17
  4. Step 4: Simplify right side
    17,828.49x = 252,819,349.66
  5. Step 5: Solve for x
    x = 252,819,349.66/17,828.49
  6. Step 6: Final answer
    x = 14,180.64

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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.