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Finding the Fourth Proportional to 22,965.21, 31,696.38 and 14,908.95

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Solution

The fourth proportional to 22,965.21, 31,696.38 and 14,908.95 is: 20,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.21 : 31,696.38 = 14,908.95 : x
  2. Step 2: Convert to fraction form
    22,965.21/31,696.38 = 14,908.95/x
  3. Step 3: Cross multiply
    22,965.21x = 31,696.38 × 14,908.95
  4. Step 4: Simplify right side
    22,965.21x = 472,559,744.60
  5. Step 5: Solve for x
    x = 472,559,744.60/22,965.21
  6. Step 6: Final answer
    x = 20,577.20

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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.