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Finding the Fourth Proportional to 14,506.12, 20,014.86 and 8,537.32

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Solution

The fourth proportional to 14,506.12, 20,014.86 and 8,537.32 is: 11,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.12 : 20,014.86 = 8,537.32 : x
  2. Step 2: Convert to fraction form
    14,506.12/20,014.86 = 8,537.32/x
  3. Step 3: Cross multiply
    14,506.12x = 20,014.86 × 8,537.32
  4. Step 4: Simplify right side
    14,506.12x = 170,873,264.58
  5. Step 5: Solve for x
    x = 170,873,264.58/14,506.12
  6. Step 6: Final answer
    x = 11,779.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.