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Finding the Fourth Proportional to 13,818.32, 20,723.64 and 4,584.40

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Solution

The fourth proportional to 13,818.32, 20,723.64 and 4,584.40 is: 6,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.32 : 20,723.64 = 4,584.40 : x
  2. Step 2: Convert to fraction form
    13,818.32/20,723.64 = 4,584.40/x
  3. Step 3: Cross multiply
    13,818.32x = 20,723.64 × 4,584.40
  4. Step 4: Simplify right side
    13,818.32x = 95,005,455.22
  5. Step 5: Solve for x
    x = 95,005,455.22/13,818.32
  6. Step 6: Final answer
    x = 6,875.33

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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.