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Finding the Fourth Proportional to 23,412.28, 32,308.50 and 12,801.88

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Solution

The fourth proportional to 23,412.28, 32,308.50 and 12,801.88 is: 17,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.28 : 32,308.50 = 12,801.88 : x
  2. Step 2: Convert to fraction form
    23,412.28/32,308.50 = 12,801.88/x
  3. Step 3: Cross multiply
    23,412.28x = 32,308.50 × 12,801.88
  4. Step 4: Simplify right side
    23,412.28x = 413,609,539.98
  5. Step 5: Solve for x
    x = 413,609,539.98/23,412.28
  6. Step 6: Final answer
    x = 17,666.35

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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.