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Finding the Fourth Proportional to 21,473.37, 32,206.32 and 5,678.57

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Solution

The fourth proportional to 21,473.37, 32,206.32 and 5,678.57 is: 8,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.37 : 32,206.32 = 5,678.57 : x
  2. Step 2: Convert to fraction form
    21,473.37/32,206.32 = 5,678.57/x
  3. Step 3: Cross multiply
    21,473.37x = 32,206.32 × 5,678.57
  4. Step 4: Simplify right side
    21,473.37x = 182,885,681.53
  5. Step 5: Solve for x
    x = 182,885,681.53/21,473.37
  6. Step 6: Final answer
    x = 8,516.86

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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.