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Finding the Fourth Proportional to 22,852.79, 31,538.45 and 12,782.17

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Solution

The fourth proportional to 22,852.79, 31,538.45 and 12,782.17 is: 17,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.79 : 31,538.45 = 12,782.17 : x
  2. Step 2: Convert to fraction form
    22,852.79/31,538.45 = 12,782.17/x
  3. Step 3: Cross multiply
    22,852.79x = 31,538.45 × 12,782.17
  4. Step 4: Simplify right side
    22,852.79x = 403,129,782.55
  5. Step 5: Solve for x
    x = 403,129,782.55/22,852.79
  6. Step 6: Final answer
    x = 17,640.29

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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.