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Finding the Fourth Proportional to 14,348.16, 21,524.40 and 5,112

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Solution

The fourth proportional to 14,348.16, 21,524.40 and 5,112 is: 7,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.16 : 21,524.40 = 5,112 : x
  2. Step 2: Convert to fraction form
    14,348.16/21,524.40 = 5,112/x
  3. Step 3: Cross multiply
    14,348.16x = 21,524.40 × 5,112
  4. Step 4: Simplify right side
    14,348.16x = 110,032,732.80
  5. Step 5: Solve for x
    x = 110,032,732.80/14,348.16
  6. Step 6: Final answer
    x = 7,668.77

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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.