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Finding the Fourth Proportional to 13,907.52, 20,863.20 and 4,676.16

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Solution

The fourth proportional to 13,907.52, 20,863.20 and 4,676.16 is: 7,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.52 : 20,863.20 = 4,676.16 : x
  2. Step 2: Convert to fraction form
    13,907.52/20,863.20 = 4,676.16/x
  3. Step 3: Cross multiply
    13,907.52x = 20,863.20 × 4,676.16
  4. Step 4: Simplify right side
    13,907.52x = 97,559,661.31
  5. Step 5: Solve for x
    x = 97,559,661.31/13,907.52
  6. Step 6: Final answer
    x = 7,014.89

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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.