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Finding the Fourth Proportional to 14,354.37, 21,540.06 and 7,780.41

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Solution

The fourth proportional to 14,354.37, 21,540.06 and 7,780.41 is: 11,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.37 : 21,540.06 = 7,780.41 : x
  2. Step 2: Convert to fraction form
    14,354.37/21,540.06 = 7,780.41/x
  3. Step 3: Cross multiply
    14,354.37x = 21,540.06 × 7,780.41
  4. Step 4: Simplify right side
    14,354.37x = 167,590,498.22
  5. Step 5: Solve for x
    x = 167,590,498.22/14,354.37
  6. Step 6: Final answer
    x = 11,675.22

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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.