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Finding the Fourth Proportional to 14,503.56, 21,752.31 and 5,143.87

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Solution

The fourth proportional to 14,503.56, 21,752.31 and 5,143.87 is: 7,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.56 : 21,752.31 = 5,143.87 : x
  2. Step 2: Convert to fraction form
    14,503.56/21,752.31 = 5,143.87/x
  3. Step 3: Cross multiply
    14,503.56x = 21,752.31 × 5,143.87
  4. Step 4: Simplify right side
    14,503.56x = 111,891,101.32
  5. Step 5: Solve for x
    x = 111,891,101.32/14,503.56
  6. Step 6: Final answer
    x = 7,714.74

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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.