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Finding the Fourth Proportional to 14,574.60, 20,099.75 and 9,537.21

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Solution

The fourth proportional to 14,574.60, 20,099.75 and 9,537.21 is: 13,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.60 : 20,099.75 = 9,537.21 : x
  2. Step 2: Convert to fraction form
    14,574.60/20,099.75 = 9,537.21/x
  3. Step 3: Cross multiply
    14,574.60x = 20,099.75 × 9,537.21
  4. Step 4: Simplify right side
    14,574.60x = 191,695,489.01
  5. Step 5: Solve for x
    x = 191,695,489.01/14,574.60
  6. Step 6: Final answer
    x = 13,152.71

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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.