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Finding the Fourth Proportional to 14,518.40, 21,780.68 and 8,281.40

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Solution

The fourth proportional to 14,518.40, 21,780.68 and 8,281.40 is: 12,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.40 : 21,780.68 = 8,281.40 : x
  2. Step 2: Convert to fraction form
    14,518.40/21,780.68 = 8,281.40/x
  3. Step 3: Cross multiply
    14,518.40x = 21,780.68 × 8,281.40
  4. Step 4: Simplify right side
    14,518.40x = 180,374,523.35
  5. Step 5: Solve for x
    x = 180,374,523.35/14,518.40
  6. Step 6: Final answer
    x = 12,423.86

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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.