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Finding the Fourth Proportional to 14,385.27, 21,580.62 and 5,619.63

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Solution

The fourth proportional to 14,385.27, 21,580.62 and 5,619.63 is: 8,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.27 : 21,580.62 = 5,619.63 : x
  2. Step 2: Convert to fraction form
    14,385.27/21,580.62 = 5,619.63/x
  3. Step 3: Cross multiply
    14,385.27x = 21,580.62 × 5,619.63
  4. Step 4: Simplify right side
    14,385.27x = 121,274,991.67
  5. Step 5: Solve for x
    x = 121,274,991.67/14,385.27
  6. Step 6: Final answer
    x = 8,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.