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Finding the Fourth Proportional to 20,784.64, 28,660.98 and 13,702

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Solution

The fourth proportional to 20,784.64, 28,660.98 and 13,702 is: 18,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.64 : 28,660.98 = 13,702 : x
  2. Step 2: Convert to fraction form
    20,784.64/28,660.98 = 13,702/x
  3. Step 3: Cross multiply
    20,784.64x = 28,660.98 × 13,702
  4. Step 4: Simplify right side
    20,784.64x = 392,712,747.96
  5. Step 5: Solve for x
    x = 392,712,747.96/20,784.64
  6. Step 6: Final answer
    x = 18,894.37

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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.