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Finding the Fourth Proportional to 22,564.70, 31,140.44 and 12,494.25

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Solution

The fourth proportional to 22,564.70, 31,140.44 and 12,494.25 is: 17,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.70 : 31,140.44 = 12,494.25 : x
  2. Step 2: Convert to fraction form
    22,564.70/31,140.44 = 12,494.25/x
  3. Step 3: Cross multiply
    22,564.70x = 31,140.44 × 12,494.25
  4. Step 4: Simplify right side
    22,564.70x = 389,076,473.71
  5. Step 5: Solve for x
    x = 389,076,473.71/22,564.70
  6. Step 6: Final answer
    x = 17,242.70

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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.