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Finding the Fourth Proportional to 23,698.88, 32,709.64 and 14,750

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Solution

The fourth proportional to 23,698.88, 32,709.64 and 14,750 is: 20,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.88 : 32,709.64 = 14,750 : x
  2. Step 2: Convert to fraction form
    23,698.88/32,709.64 = 14,750/x
  3. Step 3: Cross multiply
    23,698.88x = 32,709.64 × 14,750
  4. Step 4: Simplify right side
    23,698.88x = 482,467,190
  5. Step 5: Solve for x
    x = 482,467,190/23,698.88
  6. Step 6: Final answer
    x = 20,358.23

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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.