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Finding the Fourth Proportional to 28,206, 42,313.32 and 8,484.12

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Solution

The fourth proportional to 28,206, 42,313.32 and 8,484.12 is: 12,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206 : 42,313.32 = 8,484.12 : x
  2. Step 2: Convert to fraction form
    28,206/42,313.32 = 8,484.12/x
  3. Step 3: Cross multiply
    28,206x = 42,313.32 × 8,484.12
  4. Step 4: Simplify right side
    28,206x = 358,991,284.48
  5. Step 5: Solve for x
    x = 358,991,284.48/28,206
  6. Step 6: Final answer
    x = 12,727.48

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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.