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Finding the Fourth Proportional to 13,549.90, 20,325.42 and 4,784.86

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Solution

The fourth proportional to 13,549.90, 20,325.42 and 4,784.86 is: 7,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.90 : 20,325.42 = 4,784.86 : x
  2. Step 2: Convert to fraction form
    13,549.90/20,325.42 = 4,784.86/x
  3. Step 3: Cross multiply
    13,549.90x = 20,325.42 × 4,784.86
  4. Step 4: Simplify right side
    13,549.90x = 97,254,289.14
  5. Step 5: Solve for x
    x = 97,254,289.14/13,549.90
  6. Step 6: Final answer
    x = 7,177.49

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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.