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Finding the Fourth Proportional to 13,416.68, 20,124.48 and 6,842.72

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Solution

The fourth proportional to 13,416.68, 20,124.48 and 6,842.72 is: 10,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.68 : 20,124.48 = 6,842.72 : x
  2. Step 2: Convert to fraction form
    13,416.68/20,124.48 = 6,842.72/x
  3. Step 3: Cross multiply
    13,416.68x = 20,124.48 × 6,842.72
  4. Step 4: Simplify right side
    13,416.68x = 137,706,181.79
  5. Step 5: Solve for x
    x = 137,706,181.79/13,416.68
  6. Step 6: Final answer
    x = 10,263.80

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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.