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Finding the Fourth Proportional to 27,916.16, 38,535.84 and 16,736

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Solution

The fourth proportional to 27,916.16, 38,535.84 and 16,736 is: 23,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916.16 : 38,535.84 = 16,736 : x
  2. Step 2: Convert to fraction form
    27,916.16/38,535.84 = 16,736/x
  3. Step 3: Cross multiply
    27,916.16x = 38,535.84 × 16,736
  4. Step 4: Simplify right side
    27,916.16x = 644,935,818.24
  5. Step 5: Solve for x
    x = 644,935,818.24/27,916.16
  6. Step 6: Final answer
    x = 23,102.60

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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.