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Finding the Fourth Proportional to 26,393.70, 36,423.78 and 14,456.82

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Solution

The fourth proportional to 26,393.70, 36,423.78 and 14,456.82 is: 19,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,393.70 : 36,423.78 = 14,456.82 : x
  2. Step 2: Convert to fraction form
    26,393.70/36,423.78 = 14,456.82/x
  3. Step 3: Cross multiply
    26,393.70x = 36,423.78 × 14,456.82
  4. Step 4: Simplify right side
    26,393.70x = 526,572,031.18
  5. Step 5: Solve for x
    x = 526,572,031.18/26,393.70
  6. Step 6: Final answer
    x = 19,950.67

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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.