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Finding the Fourth Proportional to 14,588.23, 21,892.98 and 5,825.65

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Solution

The fourth proportional to 14,588.23, 21,892.98 and 5,825.65 is: 8,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.23 : 21,892.98 = 5,825.65 : x
  2. Step 2: Convert to fraction form
    14,588.23/21,892.98 = 5,825.65/x
  3. Step 3: Cross multiply
    14,588.23x = 21,892.98 × 5,825.65
  4. Step 4: Simplify right side
    14,588.23x = 127,540,838.94
  5. Step 5: Solve for x
    x = 127,540,838.94/14,588.23
  6. Step 6: Final answer
    x = 8,742.72

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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.