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Finding the Fourth Proportional to 23,033.60, 31,785.60 and 12,962.24

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Solution

The fourth proportional to 23,033.60, 31,785.60 and 12,962.24 is: 17,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.60 : 31,785.60 = 12,962.24 : x
  2. Step 2: Convert to fraction form
    23,033.60/31,785.60 = 12,962.24/x
  3. Step 3: Cross multiply
    23,033.60x = 31,785.60 × 12,962.24
  4. Step 4: Simplify right side
    23,033.60x = 412,012,575.74
  5. Step 5: Solve for x
    x = 412,012,575.74/23,033.60
  6. Step 6: Final answer
    x = 17,887.46

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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.