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Finding the Fourth Proportional to 20,487.84, 30,718.80 and 7,337.76

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Solution

The fourth proportional to 20,487.84, 30,718.80 and 7,337.76 is: 11,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.84 : 30,718.80 = 7,337.76 : x
  2. Step 2: Convert to fraction form
    20,487.84/30,718.80 = 7,337.76/x
  3. Step 3: Cross multiply
    20,487.84x = 30,718.80 × 7,337.76
  4. Step 4: Simplify right side
    20,487.84x = 225,407,181.89
  5. Step 5: Solve for x
    x = 225,407,181.89/20,487.84
  6. Step 6: Final answer
    x = 11,002.00

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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.