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Finding the Fourth Proportional to 17,762.83, 24,512.71 and 9,805.06

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Solution

The fourth proportional to 17,762.83, 24,512.71 and 9,805.06 is: 13,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.83 : 24,512.71 = 9,805.06 : x
  2. Step 2: Convert to fraction form
    17,762.83/24,512.71 = 9,805.06/x
  3. Step 3: Cross multiply
    17,762.83x = 24,512.71 × 9,805.06
  4. Step 4: Simplify right side
    17,762.83x = 240,348,592.31
  5. Step 5: Solve for x
    x = 240,348,592.31/17,762.83
  6. Step 6: Final answer
    x = 13,530.99

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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.