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Finding the Fourth Proportional to 24,780.90, 37,142.19 and 12,297.18

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Solution

The fourth proportional to 24,780.90, 37,142.19 and 12,297.18 is: 18,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.90 : 37,142.19 = 12,297.18 : x
  2. Step 2: Convert to fraction form
    24,780.90/37,142.19 = 12,297.18/x
  3. Step 3: Cross multiply
    24,780.90x = 37,142.19 × 12,297.18
  4. Step 4: Simplify right side
    24,780.90x = 456,744,196.02
  5. Step 5: Solve for x
    x = 456,744,196.02/24,780.90
  6. Step 6: Final answer
    x = 18,431.30

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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.