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Finding the Fourth Proportional to 28,182.65, 42,274.65 and 9,463.29

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Solution

The fourth proportional to 28,182.65, 42,274.65 and 9,463.29 is: 14,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.65 : 42,274.65 = 9,463.29 : x
  2. Step 2: Convert to fraction form
    28,182.65/42,274.65 = 9,463.29/x
  3. Step 3: Cross multiply
    28,182.65x = 42,274.65 × 9,463.29
  4. Step 4: Simplify right side
    28,182.65x = 400,057,378.29
  5. Step 5: Solve for x
    x = 400,057,378.29/28,182.65
  6. Step 6: Final answer
    x = 14,195.17

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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.