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Finding the Fourth Proportional to 14,645.60, 22,000.80 and 14,256.80

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Solution

The fourth proportional to 14,645.60, 22,000.80 and 14,256.80 is: 21,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.60 : 22,000.80 = 14,256.80 : x
  2. Step 2: Convert to fraction form
    14,645.60/22,000.80 = 14,256.80/x
  3. Step 3: Cross multiply
    14,645.60x = 22,000.80 × 14,256.80
  4. Step 4: Simplify right side
    14,645.60x = 313,661,005.44
  5. Step 5: Solve for x
    x = 313,661,005.44/14,645.60
  6. Step 6: Final answer
    x = 21,416.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.