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Finding the Fourth Proportional to 15,710.74, 21,677.30 and 11,464.16

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Solution

The fourth proportional to 15,710.74, 21,677.30 and 11,464.16 is: 15,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.74 : 21,677.30 = 11,464.16 : x
  2. Step 2: Convert to fraction form
    15,710.74/21,677.30 = 11,464.16/x
  3. Step 3: Cross multiply
    15,710.74x = 21,677.30 × 11,464.16
  4. Step 4: Simplify right side
    15,710.74x = 248,512,035.57
  5. Step 5: Solve for x
    x = 248,512,035.57/15,710.74
  6. Step 6: Final answer
    x = 15,817.97

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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.