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Finding the Fourth Proportional to 17,807.33, 24,571.18 and 9,848

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Solution

The fourth proportional to 17,807.33, 24,571.18 and 9,848 is: 13,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.33 : 24,571.18 = 9,848 : x
  2. Step 2: Convert to fraction form
    17,807.33/24,571.18 = 9,848/x
  3. Step 3: Cross multiply
    17,807.33x = 24,571.18 × 9,848
  4. Step 4: Simplify right side
    17,807.33x = 241,976,980.64
  5. Step 5: Solve for x
    x = 241,976,980.64/17,807.33
  6. Step 6: Final answer
    x = 13,588.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.