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Finding the Fourth Proportional to 28,224.96, 42,340.80 and 7,448.64

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Solution

The fourth proportional to 28,224.96, 42,340.80 and 7,448.64 is: 11,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.96 : 42,340.80 = 7,448.64 : x
  2. Step 2: Convert to fraction form
    28,224.96/42,340.80 = 7,448.64/x
  3. Step 3: Cross multiply
    28,224.96x = 42,340.80 × 7,448.64
  4. Step 4: Simplify right side
    28,224.96x = 315,381,376.51
  5. Step 5: Solve for x
    x = 315,381,376.51/28,224.96
  6. Step 6: Final answer
    x = 11,173.85

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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.