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Finding the Fourth Proportional to 11,957.41, 16,491.40 and 10,614

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Solution

The fourth proportional to 11,957.41, 16,491.40 and 10,614 is: 14,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.41 : 16,491.40 = 10,614 : x
  2. Step 2: Convert to fraction form
    11,957.41/16,491.40 = 10,614/x
  3. Step 3: Cross multiply
    11,957.41x = 16,491.40 × 10,614
  4. Step 4: Simplify right side
    11,957.41x = 175,039,719.60
  5. Step 5: Solve for x
    x = 175,039,719.60/11,957.41
  6. Step 6: Final answer
    x = 14,638.60

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Why These Related Problems?

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