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Finding the Fourth Proportional to 27,509.84, 37,986.85 and 17,456.12

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Solution

The fourth proportional to 27,509.84, 37,986.85 and 17,456.12 is: 24,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.84 : 37,986.85 = 17,456.12 : x
  2. Step 2: Convert to fraction form
    27,509.84/37,986.85 = 17,456.12/x
  3. Step 3: Cross multiply
    27,509.84x = 37,986.85 × 17,456.12
  4. Step 4: Simplify right side
    27,509.84x = 663,102,734.81
  5. Step 5: Solve for x
    x = 663,102,734.81/27,509.84
  6. Step 6: Final answer
    x = 24,104.21

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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.