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Finding the Fourth Proportional to 37,805.23, 56,680.02 and 12,838.57

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Solution

The fourth proportional to 37,805.23, 56,680.02 and 12,838.57 is: 19,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,805.23 : 56,680.02 = 12,838.57 : x
  2. Step 2: Convert to fraction form
    37,805.23/56,680.02 = 12,838.57/x
  3. Step 3: Cross multiply
    37,805.23x = 56,680.02 × 12,838.57
  4. Step 4: Simplify right side
    37,805.23x = 727,690,262.67
  5. Step 5: Solve for x
    x = 727,690,262.67/37,805.23
  6. Step 6: Final answer
    x = 19,248.40

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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.