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Finding the Fourth Proportional to 26,393.72, 36,423 and 14,456.34

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Solution

The fourth proportional to 26,393.72, 36,423 and 14,456.34 is: 19,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,393.72 : 36,423 = 14,456.34 : x
  2. Step 2: Convert to fraction form
    26,393.72/36,423 = 14,456.34/x
  3. Step 3: Cross multiply
    26,393.72x = 36,423 × 14,456.34
  4. Step 4: Simplify right side
    26,393.72x = 526,543,271.82
  5. Step 5: Solve for x
    x = 526,543,271.82/26,393.72
  6. Step 6: Final answer
    x = 19,949.57

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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.