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Finding the Fourth Proportional to 14,860.10, 20,513.54 and 9,489.58

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Solution

The fourth proportional to 14,860.10, 20,513.54 and 9,489.58 is: 13,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,860.10 : 20,513.54 = 9,489.58 : x
  2. Step 2: Convert to fraction form
    14,860.10/20,513.54 = 9,489.58/x
  3. Step 3: Cross multiply
    14,860.10x = 20,513.54 × 9,489.58
  4. Step 4: Simplify right side
    14,860.10x = 194,664,728.90
  5. Step 5: Solve for x
    x = 194,664,728.90/14,860.10
  6. Step 6: Final answer
    x = 13,099.83

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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.