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Finding the Fourth Proportional to 14,675.10, 22,023.45 and 9,743.10

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Solution

The fourth proportional to 14,675.10, 22,023.45 and 9,743.10 is: 14,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.10 : 22,023.45 = 9,743.10 : x
  2. Step 2: Convert to fraction form
    14,675.10/22,023.45 = 9,743.10/x
  3. Step 3: Cross multiply
    14,675.10x = 22,023.45 × 9,743.10
  4. Step 4: Simplify right side
    14,675.10x = 214,576,675.70
  5. Step 5: Solve for x
    x = 214,576,675.70/14,675.10
  6. Step 6: Final answer
    x = 14,621.82

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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.