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Finding the Fourth Proportional to 28,200.96, 42,301.76 and 7,426.56

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Solution

The fourth proportional to 28,200.96, 42,301.76 and 7,426.56 is: 11,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.96 : 42,301.76 = 7,426.56 : x
  2. Step 2: Convert to fraction form
    28,200.96/42,301.76 = 7,426.56/x
  3. Step 3: Cross multiply
    28,200.96x = 42,301.76 × 7,426.56
  4. Step 4: Simplify right side
    28,200.96x = 314,156,558.75
  5. Step 5: Solve for x
    x = 314,156,558.75/28,200.96
  6. Step 6: Final answer
    x = 11,139.92

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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.