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Finding the Fourth Proportional to 27,714.30, 41,570.34 and 9,246.30

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Solution

The fourth proportional to 27,714.30, 41,570.34 and 9,246.30 is: 13,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.30 : 41,570.34 = 9,246.30 : x
  2. Step 2: Convert to fraction form
    27,714.30/41,570.34 = 9,246.30/x
  3. Step 3: Cross multiply
    27,714.30x = 41,570.34 × 9,246.30
  4. Step 4: Simplify right side
    27,714.30x = 384,371,834.74
  5. Step 5: Solve for x
    x = 384,371,834.74/27,714.30
  6. Step 6: Final answer
    x = 13,869.08

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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.