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Finding the Fourth Proportional to 15,144.11, 22,714.86 and 9,219.45

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Solution

The fourth proportional to 15,144.11, 22,714.86 and 9,219.45 is: 13,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.11 : 22,714.86 = 9,219.45 : x
  2. Step 2: Convert to fraction form
    15,144.11/22,714.86 = 9,219.45/x
  3. Step 3: Cross multiply
    15,144.11x = 22,714.86 × 9,219.45
  4. Step 4: Simplify right side
    15,144.11x = 209,418,566.63
  5. Step 5: Solve for x
    x = 209,418,566.63/15,144.11
  6. Step 6: Final answer
    x = 13,828.39

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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.