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Finding the Fourth Proportional to 23,263.80, 32,103.70 and 12,653.20

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Solution

The fourth proportional to 23,263.80, 32,103.70 and 12,653.20 is: 17,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,263.80 : 32,103.70 = 12,653.20 : x
  2. Step 2: Convert to fraction form
    23,263.80/32,103.70 = 12,653.20/x
  3. Step 3: Cross multiply
    23,263.80x = 32,103.70 × 12,653.20
  4. Step 4: Simplify right side
    23,263.80x = 406,214,536.84
  5. Step 5: Solve for x
    x = 406,214,536.84/23,263.80
  6. Step 6: Final answer
    x = 17,461.23

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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.