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Finding the Fourth Proportional to 13,416.92, 20,123.76 and 8,482.40

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Solution

The fourth proportional to 13,416.92, 20,123.76 and 8,482.40 is: 12,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.92 : 20,123.76 = 8,482.40 : x
  2. Step 2: Convert to fraction form
    13,416.92/20,123.76 = 8,482.40/x
  3. Step 3: Cross multiply
    13,416.92x = 20,123.76 × 8,482.40
  4. Step 4: Simplify right side
    13,416.92x = 170,697,781.82
  5. Step 5: Solve for x
    x = 170,697,781.82/13,416.92
  6. Step 6: Final answer
    x = 12,722.58

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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.