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Finding the Fourth Proportional to 39,414.84, 54,392.18 and 21,509.45

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Solution

The fourth proportional to 39,414.84, 54,392.18 and 21,509.45 is: 29,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414.84 : 54,392.18 = 21,509.45 : x
  2. Step 2: Convert to fraction form
    39,414.84/54,392.18 = 21,509.45/x
  3. Step 3: Cross multiply
    39,414.84x = 54,392.18 × 21,509.45
  4. Step 4: Simplify right side
    39,414.84x = 1,169,946,065.86
  5. Step 5: Solve for x
    x = 1,169,946,065.86/39,414.84
  6. Step 6: Final answer
    x = 29,682.88

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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.