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Finding the Fourth Proportional to 14,537.10, 20,064.42 and 9,230.91

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Solution

The fourth proportional to 14,537.10, 20,064.42 and 9,230.91 is: 12,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.10 : 20,064.42 = 9,230.91 : x
  2. Step 2: Convert to fraction form
    14,537.10/20,064.42 = 9,230.91/x
  3. Step 3: Cross multiply
    14,537.10x = 20,064.42 × 9,230.91
  4. Step 4: Simplify right side
    14,537.10x = 185,212,855.22
  5. Step 5: Solve for x
    x = 185,212,855.22/14,537.10
  6. Step 6: Final answer
    x = 12,740.70

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