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Finding the Fourth Proportional to 14,546.70, 21,813.14 and 6,646.88

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Solution

The fourth proportional to 14,546.70, 21,813.14 and 6,646.88 is: 9,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.70 : 21,813.14 = 6,646.88 : x
  2. Step 2: Convert to fraction form
    14,546.70/21,813.14 = 6,646.88/x
  3. Step 3: Cross multiply
    14,546.70x = 21,813.14 × 6,646.88
  4. Step 4: Simplify right side
    14,546.70x = 144,989,181.70
  5. Step 5: Solve for x
    x = 144,989,181.70/14,546.70
  6. Step 6: Final answer
    x = 9,967.15

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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.