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Finding the Fourth Proportional to 23,467.88, 32,386.40 and 12,858.16

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Solution

The fourth proportional to 23,467.88, 32,386.40 and 12,858.16 is: 17,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.88 : 32,386.40 = 12,858.16 : x
  2. Step 2: Convert to fraction form
    23,467.88/32,386.40 = 12,858.16/x
  3. Step 3: Cross multiply
    23,467.88x = 32,386.40 × 12,858.16
  4. Step 4: Simplify right side
    23,467.88x = 416,429,513.02
  5. Step 5: Solve for x
    x = 416,429,513.02/23,467.88
  6. Step 6: Final answer
    x = 17,744.66

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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.