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Finding the Fourth Proportional to 14,347.20, 21,518.88 and 5,112

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Solution

The fourth proportional to 14,347.20, 21,518.88 and 5,112 is: 7,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.20 : 21,518.88 = 5,112 : x
  2. Step 2: Convert to fraction form
    14,347.20/21,518.88 = 5,112/x
  3. Step 3: Cross multiply
    14,347.20x = 21,518.88 × 5,112
  4. Step 4: Simplify right side
    14,347.20x = 110,004,514.56
  5. Step 5: Solve for x
    x = 110,004,514.56/14,347.20
  6. Step 6: Final answer
    x = 7,667.32

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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.