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Finding the Fourth Proportional to 28,297.49, 42,451.56 and 13,507.47

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Solution

The fourth proportional to 28,297.49, 42,451.56 and 13,507.47 is: 20,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,297.49 : 42,451.56 = 13,507.47 : x
  2. Step 2: Convert to fraction form
    28,297.49/42,451.56 = 13,507.47/x
  3. Step 3: Cross multiply
    28,297.49x = 42,451.56 × 13,507.47
  4. Step 4: Simplify right side
    28,297.49x = 573,413,173.15
  5. Step 5: Solve for x
    x = 573,413,173.15/28,297.49
  6. Step 6: Final answer
    x = 20,263.75

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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.