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Finding the Fourth Proportional to 23,283.66, 32,137.63 and 14,338.66

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Solution

The fourth proportional to 23,283.66, 32,137.63 and 14,338.66 is: 19,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.66 : 32,137.63 = 14,338.66 : x
  2. Step 2: Convert to fraction form
    23,283.66/32,137.63 = 14,338.66/x
  3. Step 3: Cross multiply
    23,283.66x = 32,137.63 × 14,338.66
  4. Step 4: Simplify right side
    23,283.66x = 460,810,389.09
  5. Step 5: Solve for x
    x = 460,810,389.09/23,283.66
  6. Step 6: Final answer
    x = 19,791.15

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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.