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Finding the Fourth Proportional to 14,673.34, 21,984.09 and 7,752.70

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Solution

The fourth proportional to 14,673.34, 21,984.09 and 7,752.70 is: 11,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.34 : 21,984.09 = 7,752.70 : x
  2. Step 2: Convert to fraction form
    14,673.34/21,984.09 = 7,752.70/x
  3. Step 3: Cross multiply
    14,673.34x = 21,984.09 × 7,752.70
  4. Step 4: Simplify right side
    14,673.34x = 170,436,054.54
  5. Step 5: Solve for x
    x = 170,436,054.54/14,673.34
  6. Step 6: Final answer
    x = 11,615.36

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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.