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Finding the Fourth Proportional to 14,602.95, 21,902.81 and 4,214.70

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Solution

The fourth proportional to 14,602.95, 21,902.81 and 4,214.70 is: 6,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.95 : 21,902.81 = 4,214.70 : x
  2. Step 2: Convert to fraction form
    14,602.95/21,902.81 = 4,214.70/x
  3. Step 3: Cross multiply
    14,602.95x = 21,902.81 × 4,214.70
  4. Step 4: Simplify right side
    14,602.95x = 92,313,752.23
  5. Step 5: Solve for x
    x = 92,313,752.23/14,602.95
  6. Step 6: Final answer
    x = 6,321.58

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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.