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Finding the Fourth Proportional to 23,415.88, 32,314.48 and 12,806.32

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Solution

The fourth proportional to 23,415.88, 32,314.48 and 12,806.32 is: 17,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.88 : 32,314.48 = 12,806.32 : x
  2. Step 2: Convert to fraction form
    23,415.88/32,314.48 = 12,806.32/x
  3. Step 3: Cross multiply
    23,415.88x = 32,314.48 × 12,806.32
  4. Step 4: Simplify right side
    23,415.88x = 413,829,571.51
  5. Step 5: Solve for x
    x = 413,829,571.51/23,415.88
  6. Step 6: Final answer
    x = 17,673.03

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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.