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Finding the Fourth Proportional to 15,708.74, 21,674.54 and 11,462.16

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Solution

The fourth proportional to 15,708.74, 21,674.54 and 11,462.16 is: 15,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.74 : 21,674.54 = 11,462.16 : x
  2. Step 2: Convert to fraction form
    15,708.74/21,674.54 = 11,462.16/x
  3. Step 3: Cross multiply
    15,708.74x = 21,674.54 × 11,462.16
  4. Step 4: Simplify right side
    15,708.74x = 248,436,968.95
  5. Step 5: Solve for x
    x = 248,436,968.95/15,708.74
  6. Step 6: Final answer
    x = 15,815.21

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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.