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Finding the Fourth Proportional to 15,709.74, 21,675.92 and 11,463.16

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Solution

The fourth proportional to 15,709.74, 21,675.92 and 11,463.16 is: 15,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.74 : 21,675.92 = 11,463.16 : x
  2. Step 2: Convert to fraction form
    15,709.74/21,675.92 = 11,463.16/x
  3. Step 3: Cross multiply
    15,709.74x = 21,675.92 × 11,463.16
  4. Step 4: Simplify right side
    15,709.74x = 248,474,539.11
  5. Step 5: Solve for x
    x = 248,474,539.11/15,709.74
  6. Step 6: Final answer
    x = 15,816.59

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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.