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Finding the Fourth Proportional to 26,389.71, 36,416.45 and 14,450.74

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Solution

The fourth proportional to 26,389.71, 36,416.45 and 14,450.74 is: 19,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,389.71 : 36,416.45 = 14,450.74 : x
  2. Step 2: Convert to fraction form
    26,389.71/36,416.45 = 14,450.74/x
  3. Step 3: Cross multiply
    26,389.71x = 36,416.45 × 14,450.74
  4. Step 4: Simplify right side
    26,389.71x = 526,244,487.38
  5. Step 5: Solve for x
    x = 526,244,487.38/26,389.71
  6. Step 6: Final answer
    x = 19,941.28

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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.