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Finding the Fourth Proportional to 14,603.68, 21,902.48 and 4,213

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Solution

The fourth proportional to 14,603.68, 21,902.48 and 4,213 is: 6,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.68 : 21,902.48 = 4,213 : x
  2. Step 2: Convert to fraction form
    14,603.68/21,902.48 = 4,213/x
  3. Step 3: Cross multiply
    14,603.68x = 21,902.48 × 4,213
  4. Step 4: Simplify right side
    14,603.68x = 92,275,148.24
  5. Step 5: Solve for x
    x = 92,275,148.24/14,603.68
  6. Step 6: Final answer
    x = 6,318.62

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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.