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Finding the Fourth Proportional to 25,230.24, 34,814.16 and 14,328

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Solution

The fourth proportional to 25,230.24, 34,814.16 and 14,328 is: 19,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,230.24 : 34,814.16 = 14,328 : x
  2. Step 2: Convert to fraction form
    25,230.24/34,814.16 = 14,328/x
  3. Step 3: Cross multiply
    25,230.24x = 34,814.16 × 14,328
  4. Step 4: Simplify right side
    25,230.24x = 498,817,284.48
  5. Step 5: Solve for x
    x = 498,817,284.48/25,230.24
  6. Step 6: Final answer
    x = 19,770.61

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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.