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Finding the Fourth Proportional to 17,580, 26,376.48 and 9,259.68

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Solution

The fourth proportional to 17,580, 26,376.48 and 9,259.68 is: 13,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580 : 26,376.48 = 9,259.68 : x
  2. Step 2: Convert to fraction form
    17,580/26,376.48 = 9,259.68/x
  3. Step 3: Cross multiply
    17,580x = 26,376.48 × 9,259.68
  4. Step 4: Simplify right side
    17,580x = 244,237,764.33
  5. Step 5: Solve for x
    x = 244,237,764.33/17,580
  6. Step 6: Final answer
    x = 13,892.93

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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.