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Finding the Fourth Proportional to 27,737.84, 38,275.20 and 16,407.74

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Solution

The fourth proportional to 27,737.84, 38,275.20 and 16,407.74 is: 22,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.84 : 38,275.20 = 16,407.74 : x
  2. Step 2: Convert to fraction form
    27,737.84/38,275.20 = 16,407.74/x
  3. Step 3: Cross multiply
    27,737.84x = 38,275.20 × 16,407.74
  4. Step 4: Simplify right side
    27,737.84x = 628,009,530.05
  5. Step 5: Solve for x
    x = 628,009,530.05/27,737.84
  6. Step 6: Final answer
    x = 22,640.90

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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.