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Finding the Fourth Proportional to 14,461.56, 21,686.87 and 7,884.17

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Solution

The fourth proportional to 14,461.56, 21,686.87 and 7,884.17 is: 11,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.56 : 21,686.87 = 7,884.17 : x
  2. Step 2: Convert to fraction form
    14,461.56/21,686.87 = 7,884.17/x
  3. Step 3: Cross multiply
    14,461.56x = 21,686.87 × 7,884.17
  4. Step 4: Simplify right side
    14,461.56x = 170,982,821.99
  5. Step 5: Solve for x
    x = 170,982,821.99/14,461.56
  6. Step 6: Final answer
    x = 11,823.26

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