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Finding the Fourth Proportional to 14,882.65, 20,538.41 and 9,218.32

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Solution

The fourth proportional to 14,882.65, 20,538.41 and 9,218.32 is: 12,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.65 : 20,538.41 = 9,218.32 : x
  2. Step 2: Convert to fraction form
    14,882.65/20,538.41 = 9,218.32/x
  3. Step 3: Cross multiply
    14,882.65x = 20,538.41 × 9,218.32
  4. Step 4: Simplify right side
    14,882.65x = 189,329,538.23
  5. Step 5: Solve for x
    x = 189,329,538.23/14,882.65
  6. Step 6: Final answer
    x = 12,721.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.