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Finding the Fourth Proportional to 17,277.50, 23,842.95 and 10,204.04

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Solution

The fourth proportional to 17,277.50, 23,842.95 and 10,204.04 is: 14,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.50 : 23,842.95 = 10,204.04 : x
  2. Step 2: Convert to fraction form
    17,277.50/23,842.95 = 10,204.04/x
  3. Step 3: Cross multiply
    17,277.50x = 23,842.95 × 10,204.04
  4. Step 4: Simplify right side
    17,277.50x = 243,294,415.52
  5. Step 5: Solve for x
    x = 243,294,415.52/17,277.50
  6. Step 6: Final answer
    x = 14,081.58

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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.