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Finding the Fourth Proportional to 14,302.27, 19,737.34 and 8,252.42

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Solution

The fourth proportional to 14,302.27, 19,737.34 and 8,252.42 is: 11,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.27 : 19,737.34 = 8,252.42 : x
  2. Step 2: Convert to fraction form
    14,302.27/19,737.34 = 8,252.42/x
  3. Step 3: Cross multiply
    14,302.27x = 19,737.34 × 8,252.42
  4. Step 4: Simplify right side
    14,302.27x = 162,880,700.05
  5. Step 5: Solve for x
    x = 162,880,700.05/14,302.27
  6. Step 6: Final answer
    x = 11,388.45

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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.