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Finding the Fourth Proportional to 20,697.84, 31,047.76 and 5,908.93

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Solution

The fourth proportional to 20,697.84, 31,047.76 and 5,908.93 is: 8,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.84 : 31,047.76 = 5,908.93 : x
  2. Step 2: Convert to fraction form
    20,697.84/31,047.76 = 5,908.93/x
  3. Step 3: Cross multiply
    20,697.84x = 31,047.76 × 5,908.93
  4. Step 4: Simplify right side
    20,697.84x = 183,459,040.50
  5. Step 5: Solve for x
    x = 183,459,040.50/20,697.84
  6. Step 6: Final answer
    x = 8,863.68

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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.