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Finding the Fourth Proportional to 27,401.68, 37,821.63 and 15,472

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Solution

The fourth proportional to 27,401.68, 37,821.63 and 15,472 is: 21,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401.68 : 37,821.63 = 15,472 : x
  2. Step 2: Convert to fraction form
    27,401.68/37,821.63 = 15,472/x
  3. Step 3: Cross multiply
    27,401.68x = 37,821.63 × 15,472
  4. Step 4: Simplify right side
    27,401.68x = 585,176,259.36
  5. Step 5: Solve for x
    x = 585,176,259.36/27,401.68
  6. Step 6: Final answer
    x = 21,355.49

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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.