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Finding the Fourth Proportional to 14,252.21, 19,666.36 and 8,282.91

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Solution

The fourth proportional to 14,252.21, 19,666.36 and 8,282.91 is: 11,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.21 : 19,666.36 = 8,282.91 : x
  2. Step 2: Convert to fraction form
    14,252.21/19,666.36 = 8,282.91/x
  3. Step 3: Cross multiply
    14,252.21x = 19,666.36 × 8,282.91
  4. Step 4: Simplify right side
    14,252.21x = 162,894,689.91
  5. Step 5: Solve for x
    x = 162,894,689.91/14,252.21
  6. Step 6: Final answer
    x = 11,429.43

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