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Finding the Fourth Proportional to 14,546.54, 21,805.90 and 4,678.88

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Solution

The fourth proportional to 14,546.54, 21,805.90 and 4,678.88 is: 7,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.54 : 21,805.90 = 4,678.88 : x
  2. Step 2: Convert to fraction form
    14,546.54/21,805.90 = 4,678.88/x
  3. Step 3: Cross multiply
    14,546.54x = 21,805.90 × 4,678.88
  4. Step 4: Simplify right side
    14,546.54x = 102,027,068.67
  5. Step 5: Solve for x
    x = 102,027,068.67/14,546.54
  6. Step 6: Final answer
    x = 7,013.84

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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.