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Finding the Fourth Proportional to 14,548.05, 21,805.02 and 6,740.46

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Solution

The fourth proportional to 14,548.05, 21,805.02 and 6,740.46 is: 10,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.05 : 21,805.02 = 6,740.46 : x
  2. Step 2: Convert to fraction form
    14,548.05/21,805.02 = 6,740.46/x
  3. Step 3: Cross multiply
    14,548.05x = 21,805.02 × 6,740.46
  4. Step 4: Simplify right side
    14,548.05x = 146,975,865.11
  5. Step 5: Solve for x
    x = 146,975,865.11/14,548.05
  6. Step 6: Final answer
    x = 10,102.79

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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.