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Finding the Fourth Proportional to 13,505.94, 20,261.07 and 5,714.82

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Solution

The fourth proportional to 13,505.94, 20,261.07 and 5,714.82 is: 8,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.94 : 20,261.07 = 5,714.82 : x
  2. Step 2: Convert to fraction form
    13,505.94/20,261.07 = 5,714.82/x
  3. Step 3: Cross multiply
    13,505.94x = 20,261.07 × 5,714.82
  4. Step 4: Simplify right side
    13,505.94x = 115,788,368.06
  5. Step 5: Solve for x
    x = 115,788,368.06/13,505.94
  6. Step 6: Final answer
    x = 8,573.14

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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.