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Finding the Fourth Proportional to 22,854.69, 31,539.54 and 12,783.30

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Solution

The fourth proportional to 22,854.69, 31,539.54 and 12,783.30 is: 17,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.69 : 31,539.54 = 12,783.30 : x
  2. Step 2: Convert to fraction form
    22,854.69/31,539.54 = 12,783.30/x
  3. Step 3: Cross multiply
    22,854.69x = 31,539.54 × 12,783.30
  4. Step 4: Simplify right side
    22,854.69x = 403,179,401.68
  5. Step 5: Solve for x
    x = 403,179,401.68/22,854.69
  6. Step 6: Final answer
    x = 17,640.99

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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.