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Finding the Fourth Proportional to 14,966.86, 22,464.14 and 7,576.51

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Solution

The fourth proportional to 14,966.86, 22,464.14 and 7,576.51 is: 11,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.86 : 22,464.14 = 7,576.51 : x
  2. Step 2: Convert to fraction form
    14,966.86/22,464.14 = 7,576.51/x
  3. Step 3: Cross multiply
    14,966.86x = 22,464.14 × 7,576.51
  4. Step 4: Simplify right side
    14,966.86x = 170,199,687.31
  5. Step 5: Solve for x
    x = 170,199,687.31/14,966.86
  6. Step 6: Final answer
    x = 11,371.77

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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.