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Finding the Fourth Proportional to 15,665.04, 21,615.84 and 11,466

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Solution

The fourth proportional to 15,665.04, 21,615.84 and 11,466 is: 15,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.04 : 21,615.84 = 11,466 : x
  2. Step 2: Convert to fraction form
    15,665.04/21,615.84 = 11,466/x
  3. Step 3: Cross multiply
    15,665.04x = 21,615.84 × 11,466
  4. Step 4: Simplify right side
    15,665.04x = 247,847,221.44
  5. Step 5: Solve for x
    x = 247,847,221.44/15,665.04
  6. Step 6: Final answer
    x = 15,821.68

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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.