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Finding the Fourth Proportional to 14,409.19, 21,619.01 and 5,051.80

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Solution

The fourth proportional to 14,409.19, 21,619.01 and 5,051.80 is: 7,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.19 : 21,619.01 = 5,051.80 : x
  2. Step 2: Convert to fraction form
    14,409.19/21,619.01 = 5,051.80/x
  3. Step 3: Cross multiply
    14,409.19x = 21,619.01 × 5,051.80
  4. Step 4: Simplify right side
    14,409.19x = 109,214,914.72
  5. Step 5: Solve for x
    x = 109,214,914.72/14,409.19
  6. Step 6: Final answer
    x = 7,579.53

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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.