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Finding the Fourth Proportional to 14,407.02, 21,609.72 and 5,043.42

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Solution

The fourth proportional to 14,407.02, 21,609.72 and 5,043.42 is: 7,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.02 : 21,609.72 = 5,043.42 : x
  2. Step 2: Convert to fraction form
    14,407.02/21,609.72 = 5,043.42/x
  3. Step 3: Cross multiply
    14,407.02x = 21,609.72 × 5,043.42
  4. Step 4: Simplify right side
    14,407.02x = 108,986,894.04
  5. Step 5: Solve for x
    x = 108,986,894.04/14,407.02
  6. Step 6: Final answer
    x = 7,564.85

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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.