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Finding the Fourth Proportional to 18,470.16, 27,714.29 and 11,448.31

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Solution

The fourth proportional to 18,470.16, 27,714.29 and 11,448.31 is: 17,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.16 : 27,714.29 = 11,448.31 : x
  2. Step 2: Convert to fraction form
    18,470.16/27,714.29 = 11,448.31/x
  3. Step 3: Cross multiply
    18,470.16x = 27,714.29 × 11,448.31
  4. Step 4: Simplify right side
    18,470.16x = 317,281,783.35
  5. Step 5: Solve for x
    x = 317,281,783.35/18,470.16
  6. Step 6: Final answer
    x = 17,178.07

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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.