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Finding the Fourth Proportional to 27,685.76, 38,208.38 and 15,752.94

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Solution

The fourth proportional to 27,685.76, 38,208.38 and 15,752.94 is: 21,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.76 : 38,208.38 = 15,752.94 : x
  2. Step 2: Convert to fraction form
    27,685.76/38,208.38 = 15,752.94/x
  3. Step 3: Cross multiply
    27,685.76x = 38,208.38 × 15,752.94
  4. Step 4: Simplify right side
    27,685.76x = 601,894,317.64
  5. Step 5: Solve for x
    x = 601,894,317.64/27,685.76
  6. Step 6: Final answer
    x = 21,740.21

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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.