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Finding the Fourth Proportional to 19,506.27, 29,255.76 and 6,359.16

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Solution

The fourth proportional to 19,506.27, 29,255.76 and 6,359.16 is: 9,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.27 : 29,255.76 = 6,359.16 : x
  2. Step 2: Convert to fraction form
    19,506.27/29,255.76 = 6,359.16/x
  3. Step 3: Cross multiply
    19,506.27x = 29,255.76 × 6,359.16
  4. Step 4: Simplify right side
    19,506.27x = 186,042,058.76
  5. Step 5: Solve for x
    x = 186,042,058.76/19,506.27
  6. Step 6: Final answer
    x = 9,537.55

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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.