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Finding the Fourth Proportional to 14,187.72, 21,282.99 and 5,430

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Solution

The fourth proportional to 14,187.72, 21,282.99 and 5,430 is: 8,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.72 : 21,282.99 = 5,430 : x
  2. Step 2: Convert to fraction form
    14,187.72/21,282.99 = 5,430/x
  3. Step 3: Cross multiply
    14,187.72x = 21,282.99 × 5,430
  4. Step 4: Simplify right side
    14,187.72x = 115,566,635.70
  5. Step 5: Solve for x
    x = 115,566,635.70/14,187.72
  6. Step 6: Final answer
    x = 8,145.54

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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.