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Finding the Fourth Proportional to 23,645.94, 32,630.31 and 13,567.47

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Solution

The fourth proportional to 23,645.94, 32,630.31 and 13,567.47 is: 18,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.94 : 32,630.31 = 13,567.47 : x
  2. Step 2: Convert to fraction form
    23,645.94/32,630.31 = 13,567.47/x
  3. Step 3: Cross multiply
    23,645.94x = 32,630.31 × 13,567.47
  4. Step 4: Simplify right side
    23,645.94x = 442,710,752.02
  5. Step 5: Solve for x
    x = 442,710,752.02/23,645.94
  6. Step 6: Final answer
    x = 18,722.48

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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.