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Finding the Fourth Proportional to 13,477.88, 20,221.68 and 4,714.08

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Solution

The fourth proportional to 13,477.88, 20,221.68 and 4,714.08 is: 7,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.88 : 20,221.68 = 4,714.08 : x
  2. Step 2: Convert to fraction form
    13,477.88/20,221.68 = 4,714.08/x
  3. Step 3: Cross multiply
    13,477.88x = 20,221.68 × 4,714.08
  4. Step 4: Simplify right side
    13,477.88x = 95,326,617.25
  5. Step 5: Solve for x
    x = 95,326,617.25/13,477.88
  6. Step 6: Final answer
    x = 7,072.82

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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.