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Finding the Fourth Proportional to 22,854.34, 31,539.06 and 12,782.96

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Solution

The fourth proportional to 22,854.34, 31,539.06 and 12,782.96 is: 17,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.34 : 31,539.06 = 12,782.96 : x
  2. Step 2: Convert to fraction form
    22,854.34/31,539.06 = 12,782.96/x
  3. Step 3: Cross multiply
    22,854.34x = 31,539.06 × 12,782.96
  4. Step 4: Simplify right side
    22,854.34x = 403,162,502.99
  5. Step 5: Solve for x
    x = 403,162,502.99/22,854.34
  6. Step 6: Final answer
    x = 17,640.52

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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.