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Finding the Fourth Proportional to 28,280.69, 42,426.50 and 10,749.16

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Solution

The fourth proportional to 28,280.69, 42,426.50 and 10,749.16 is: 16,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280.69 : 42,426.50 = 10,749.16 : x
  2. Step 2: Convert to fraction form
    28,280.69/42,426.50 = 10,749.16/x
  3. Step 3: Cross multiply
    28,280.69x = 42,426.50 × 10,749.16
  4. Step 4: Simplify right side
    28,280.69x = 456,049,157.55
  5. Step 5: Solve for x
    x = 456,049,157.55/28,280.69
  6. Step 6: Final answer
    x = 16,125.81

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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.