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Finding the Fourth Proportional to 13,416.81, 20,152.05 and 8,090.64

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Solution

The fourth proportional to 13,416.81, 20,152.05 and 8,090.64 is: 12,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.81 : 20,152.05 = 8,090.64 : x
  2. Step 2: Convert to fraction form
    13,416.81/20,152.05 = 8,090.64/x
  3. Step 3: Cross multiply
    13,416.81x = 20,152.05 × 8,090.64
  4. Step 4: Simplify right side
    13,416.81x = 163,042,981.81
  5. Step 5: Solve for x
    x = 163,042,981.81/13,416.81
  6. Step 6: Final answer
    x = 12,152.14

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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.