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Finding the Fourth Proportional to 27,385.92, 37,775.52 and 16,200

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Solution

The fourth proportional to 27,385.92, 37,775.52 and 16,200 is: 22,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,385.92 : 37,775.52 = 16,200 : x
  2. Step 2: Convert to fraction form
    27,385.92/37,775.52 = 16,200/x
  3. Step 3: Cross multiply
    27,385.92x = 37,775.52 × 16,200
  4. Step 4: Simplify right side
    27,385.92x = 611,963,424
  5. Step 5: Solve for x
    x = 611,963,424/27,385.92
  6. Step 6: Final answer
    x = 22,345.91

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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.