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Finding the Fourth Proportional to 20,088.08, 27,713.64 and 12,530

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Solution

The fourth proportional to 20,088.08, 27,713.64 and 12,530 is: 17,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,088.08 : 27,713.64 = 12,530 : x
  2. Step 2: Convert to fraction form
    20,088.08/27,713.64 = 12,530/x
  3. Step 3: Cross multiply
    20,088.08x = 27,713.64 × 12,530
  4. Step 4: Simplify right side
    20,088.08x = 347,251,909.20
  5. Step 5: Solve for x
    x = 347,251,909.20/20,088.08
  6. Step 6: Final answer
    x = 17,286.47

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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.