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Finding the Fourth Proportional to 22,564.80, 31,140.57 and 12,494.35

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Solution

The fourth proportional to 22,564.80, 31,140.57 and 12,494.35 is: 17,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.80 : 31,140.57 = 12,494.35 : x
  2. Step 2: Convert to fraction form
    22,564.80/31,140.57 = 12,494.35/x
  3. Step 3: Cross multiply
    22,564.80x = 31,140.57 × 12,494.35
  4. Step 4: Simplify right side
    22,564.80x = 389,081,266.56
  5. Step 5: Solve for x
    x = 389,081,266.56/22,564.80
  6. Step 6: Final answer
    x = 17,242.84

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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.