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Finding the Fourth Proportional to 28,305.74, 42,456 and 9,583.64

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Solution

The fourth proportional to 28,305.74, 42,456 and 9,583.64 is: 14,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,305.74 : 42,456 = 9,583.64 : x
  2. Step 2: Convert to fraction form
    28,305.74/42,456 = 9,583.64/x
  3. Step 3: Cross multiply
    28,305.74x = 42,456 × 9,583.64
  4. Step 4: Simplify right side
    28,305.74x = 406,883,019.84
  5. Step 5: Solve for x
    x = 406,883,019.84/28,305.74
  6. Step 6: Final answer
    x = 14,374.58

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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.