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Finding the Fourth Proportional to 12,877.99, 17,772.92 and 7,842.52

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Solution

The fourth proportional to 12,877.99, 17,772.92 and 7,842.52 is: 10,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.99 : 17,772.92 = 7,842.52 : x
  2. Step 2: Convert to fraction form
    12,877.99/17,772.92 = 7,842.52/x
  3. Step 3: Cross multiply
    12,877.99x = 17,772.92 × 7,842.52
  4. Step 4: Simplify right side
    12,877.99x = 139,384,492.97
  5. Step 5: Solve for x
    x = 139,384,492.97/12,877.99
  6. Step 6: Final answer
    x = 10,823.47

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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.