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Finding the Fourth Proportional to 26,144, 36,078.72 and 14,368

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Solution

The fourth proportional to 26,144, 36,078.72 and 14,368 is: 19,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 36,078.72 = 14,368 : x
  2. Step 2: Convert to fraction form
    26,144/36,078.72 = 14,368/x
  3. Step 3: Cross multiply
    26,144x = 36,078.72 × 14,368
  4. Step 4: Simplify right side
    26,144x = 518,379,048.96
  5. Step 5: Solve for x
    x = 518,379,048.96/26,144
  6. Step 6: Final answer
    x = 19,827.84

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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.