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Finding the Fourth Proportional to 15,827.84, 21,842.42 and 9,541.43

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Solution

The fourth proportional to 15,827.84, 21,842.42 and 9,541.43 is: 13,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.84 : 21,842.42 = 9,541.43 : x
  2. Step 2: Convert to fraction form
    15,827.84/21,842.42 = 9,541.43/x
  3. Step 3: Cross multiply
    15,827.84x = 21,842.42 × 9,541.43
  4. Step 4: Simplify right side
    15,827.84x = 208,407,764.54
  5. Step 5: Solve for x
    x = 208,407,764.54/15,827.84
  6. Step 6: Final answer
    x = 13,167.17

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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.