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Finding the Fourth Proportional to 14,605.66, 21,927.32 and 12,538.94

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Solution

The fourth proportional to 14,605.66, 21,927.32 and 12,538.94 is: 18,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.66 : 21,927.32 = 12,538.94 : x
  2. Step 2: Convert to fraction form
    14,605.66/21,927.32 = 12,538.94/x
  3. Step 3: Cross multiply
    14,605.66x = 21,927.32 × 12,538.94
  4. Step 4: Simplify right side
    14,605.66x = 274,945,349.84
  5. Step 5: Solve for x
    x = 274,945,349.84/14,605.66
  6. Step 6: Final answer
    x = 18,824.58

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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.