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Finding the Fourth Proportional to 12,875.24, 17,769.33 and 7,842.41

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Solution

The fourth proportional to 12,875.24, 17,769.33 and 7,842.41 is: 10,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.24 : 17,769.33 = 7,842.41 : x
  2. Step 2: Convert to fraction form
    12,875.24/17,769.33 = 7,842.41/x
  3. Step 3: Cross multiply
    12,875.24x = 17,769.33 × 7,842.41
  4. Step 4: Simplify right side
    12,875.24x = 139,354,349.07
  5. Step 5: Solve for x
    x = 139,354,349.07/12,875.24
  6. Step 6: Final answer
    x = 10,823.43

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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.