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Finding the Fourth Proportional to 23,467.80, 32,386.14 and 12,857.43

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Solution

The fourth proportional to 23,467.80, 32,386.14 and 12,857.43 is: 17,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.80 : 32,386.14 = 12,857.43 : x
  2. Step 2: Convert to fraction form
    23,467.80/32,386.14 = 12,857.43/x
  3. Step 3: Cross multiply
    23,467.80x = 32,386.14 × 12,857.43
  4. Step 4: Simplify right side
    23,467.80x = 416,402,528.02
  5. Step 5: Solve for x
    x = 416,402,528.02/23,467.80
  6. Step 6: Final answer
    x = 17,743.57

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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.