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Finding the Fourth Proportional to 14,252.81, 19,670.09 and 8,284.10

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Solution

The fourth proportional to 14,252.81, 19,670.09 and 8,284.10 is: 11,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.81 : 19,670.09 = 8,284.10 : x
  2. Step 2: Convert to fraction form
    14,252.81/19,670.09 = 8,284.10/x
  3. Step 3: Cross multiply
    14,252.81x = 19,670.09 × 8,284.10
  4. Step 4: Simplify right side
    14,252.81x = 162,948,954.72
  5. Step 5: Solve for x
    x = 162,948,954.72/14,252.81
  6. Step 6: Final answer
    x = 11,432.76

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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.