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Finding the Fourth Proportional to 14,300.14, 21,444.27 and 5,530

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Solution

The fourth proportional to 14,300.14, 21,444.27 and 5,530 is: 8,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.14 : 21,444.27 = 5,530 : x
  2. Step 2: Convert to fraction form
    14,300.14/21,444.27 = 5,530/x
  3. Step 3: Cross multiply
    14,300.14x = 21,444.27 × 5,530
  4. Step 4: Simplify right side
    14,300.14x = 118,586,813.10
  5. Step 5: Solve for x
    x = 118,586,813.10/14,300.14
  6. Step 6: Final answer
    x = 8,292.70

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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.