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Finding the Fourth Proportional to 27,881.16, 38,468.52 and 16,541.20

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Solution

The fourth proportional to 27,881.16, 38,468.52 and 16,541.20 is: 22,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.16 : 38,468.52 = 16,541.20 : x
  2. Step 2: Convert to fraction form
    27,881.16/38,468.52 = 16,541.20/x
  3. Step 3: Cross multiply
    27,881.16x = 38,468.52 × 16,541.20
  4. Step 4: Simplify right side
    27,881.16x = 636,315,483.02
  5. Step 5: Solve for x
    x = 636,315,483.02/27,881.16
  6. Step 6: Final answer
    x = 22,822.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.