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Finding the Fourth Proportional to 30,220.86, 45,346.14 and 13,592.64

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Solution

The fourth proportional to 30,220.86, 45,346.14 and 13,592.64 is: 20,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.86 : 45,346.14 = 13,592.64 : x
  2. Step 2: Convert to fraction form
    30,220.86/45,346.14 = 13,592.64/x
  3. Step 3: Cross multiply
    30,220.86x = 45,346.14 × 13,592.64
  4. Step 4: Simplify right side
    30,220.86x = 616,373,756.41
  5. Step 5: Solve for x
    x = 616,373,756.41/30,220.86
  6. Step 6: Final answer
    x = 20,395.64

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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.