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Finding the Fourth Proportional to 14,461.04, 21,676.98 and 10,991

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Solution

The fourth proportional to 14,461.04, 21,676.98 and 10,991 is: 16,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.04 : 21,676.98 = 10,991 : x
  2. Step 2: Convert to fraction form
    14,461.04/21,676.98 = 10,991/x
  3. Step 3: Cross multiply
    14,461.04x = 21,676.98 × 10,991
  4. Step 4: Simplify right side
    14,461.04x = 238,251,687.18
  5. Step 5: Solve for x
    x = 238,251,687.18/14,461.04
  6. Step 6: Final answer
    x = 16,475.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.