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Finding the Fourth Proportional to 23,716.77, 32,729.76 and 12,962.10

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Solution

The fourth proportional to 23,716.77, 32,729.76 and 12,962.10 is: 17,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.77 : 32,729.76 = 12,962.10 : x
  2. Step 2: Convert to fraction form
    23,716.77/32,729.76 = 12,962.10/x
  3. Step 3: Cross multiply
    23,716.77x = 32,729.76 × 12,962.10
  4. Step 4: Simplify right side
    23,716.77x = 424,246,422.10
  5. Step 5: Solve for x
    x = 424,246,422.10/23,716.77
  6. Step 6: Final answer
    x = 17,888.04

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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.