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Finding the Fourth Proportional to 13,646.92, 20,473.50 and 4,762.60

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Solution

The fourth proportional to 13,646.92, 20,473.50 and 4,762.60 is: 7,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.92 : 20,473.50 = 4,762.60 : x
  2. Step 2: Convert to fraction form
    13,646.92/20,473.50 = 4,762.60/x
  3. Step 3: Cross multiply
    13,646.92x = 20,473.50 × 4,762.60
  4. Step 4: Simplify right side
    13,646.92x = 97,507,091.10
  5. Step 5: Solve for x
    x = 97,507,091.10/13,646.92
  6. Step 6: Final answer
    x = 7,144.99

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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.