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Finding the Fourth Proportional to 26,122.56, 36,044.92 and 16,047.76

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Solution

The fourth proportional to 26,122.56, 36,044.92 and 16,047.76 is: 22,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.56 : 36,044.92 = 16,047.76 : x
  2. Step 2: Convert to fraction form
    26,122.56/36,044.92 = 16,047.76/x
  3. Step 3: Cross multiply
    26,122.56x = 36,044.92 × 16,047.76
  4. Step 4: Simplify right side
    26,122.56x = 578,440,225.38
  5. Step 5: Solve for x
    x = 578,440,225.38/26,122.56
  6. Step 6: Final answer
    x = 22,143.32

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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.