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Finding the Fourth Proportional to 28,003.68, 42,006.24 and 9,548.64

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Solution

The fourth proportional to 28,003.68, 42,006.24 and 9,548.64 is: 14,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,003.68 : 42,006.24 = 9,548.64 : x
  2. Step 2: Convert to fraction form
    28,003.68/42,006.24 = 9,548.64/x
  3. Step 3: Cross multiply
    28,003.68x = 42,006.24 × 9,548.64
  4. Step 4: Simplify right side
    28,003.68x = 401,102,463.51
  5. Step 5: Solve for x
    x = 401,102,463.51/28,003.68
  6. Step 6: Final answer
    x = 14,323.21

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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.