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Finding the Fourth Proportional to 27,736.98, 41,598 and 12,931.44

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Solution

The fourth proportional to 27,736.98, 41,598 and 12,931.44 is: 19,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.98 : 41,598 = 12,931.44 : x
  2. Step 2: Convert to fraction form
    27,736.98/41,598 = 12,931.44/x
  3. Step 3: Cross multiply
    27,736.98x = 41,598 × 12,931.44
  4. Step 4: Simplify right side
    27,736.98x = 537,922,041.12
  5. Step 5: Solve for x
    x = 537,922,041.12/27,736.98
  6. Step 6: Final answer
    x = 19,393.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.