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Finding the Fourth Proportional to 12,511.90, 18,780.81 and 9,361

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Solution

The fourth proportional to 12,511.90, 18,780.81 and 9,361 is: 14,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.90 : 18,780.81 = 9,361 : x
  2. Step 2: Convert to fraction form
    12,511.90/18,780.81 = 9,361/x
  3. Step 3: Cross multiply
    12,511.90x = 18,780.81 × 9,361
  4. Step 4: Simplify right side
    12,511.90x = 175,807,162.41
  5. Step 5: Solve for x
    x = 175,807,162.41/12,511.90
  6. Step 6: Final answer
    x = 14,051.20

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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.