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Finding the Fourth Proportional to 14,411.84, 21,610.56 and 6,614

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Solution

The fourth proportional to 14,411.84, 21,610.56 and 6,614 is: 9,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.84 : 21,610.56 = 6,614 : x
  2. Step 2: Convert to fraction form
    14,411.84/21,610.56 = 6,614/x
  3. Step 3: Cross multiply
    14,411.84x = 21,610.56 × 6,614
  4. Step 4: Simplify right side
    14,411.84x = 142,932,243.84
  5. Step 5: Solve for x
    x = 142,932,243.84/14,411.84
  6. Step 6: Final answer
    x = 9,917.70

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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.