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Finding the Fourth Proportional to 14,454.84, 21,678.75 and 6,135.06

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Solution

The fourth proportional to 14,454.84, 21,678.75 and 6,135.06 is: 9,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.84 : 21,678.75 = 6,135.06 : x
  2. Step 2: Convert to fraction form
    14,454.84/21,678.75 = 6,135.06/x
  3. Step 3: Cross multiply
    14,454.84x = 21,678.75 × 6,135.06
  4. Step 4: Simplify right side
    14,454.84x = 133,000,431.98
  5. Step 5: Solve for x
    x = 133,000,431.98/14,454.84
  6. Step 6: Final answer
    x = 9,201.10

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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.