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Finding the Fourth Proportional to 14,550.10, 21,830.42 and 7,159.75

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Solution

The fourth proportional to 14,550.10, 21,830.42 and 7,159.75 is: 10,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.10 : 21,830.42 = 7,159.75 : x
  2. Step 2: Convert to fraction form
    14,550.10/21,830.42 = 7,159.75/x
  3. Step 3: Cross multiply
    14,550.10x = 21,830.42 × 7,159.75
  4. Step 4: Simplify right side
    14,550.10x = 156,300,293.03
  5. Step 5: Solve for x
    x = 156,300,293.03/14,550.10
  6. Step 6: Final answer
    x = 10,742.21

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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.