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Finding the Fourth Proportional to 14,505.84, 21,752.96 and 6,189.57

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Solution

The fourth proportional to 14,505.84, 21,752.96 and 6,189.57 is: 9,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.84 : 21,752.96 = 6,189.57 : x
  2. Step 2: Convert to fraction form
    14,505.84/21,752.96 = 6,189.57/x
  3. Step 3: Cross multiply
    14,505.84x = 21,752.96 × 6,189.57
  4. Step 4: Simplify right side
    14,505.84x = 134,641,437.68
  5. Step 5: Solve for x
    x = 134,641,437.68/14,505.84
  6. Step 6: Final answer
    x = 9,281.88

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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.