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Finding the Fourth Proportional to 14,553.10, 21,829.65 and 9,628.30

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Solution

The fourth proportional to 14,553.10, 21,829.65 and 9,628.30 is: 14,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.10 : 21,829.65 = 9,628.30 : x
  2. Step 2: Convert to fraction form
    14,553.10/21,829.65 = 9,628.30/x
  3. Step 3: Cross multiply
    14,553.10x = 21,829.65 × 9,628.30
  4. Step 4: Simplify right side
    14,553.10x = 210,182,419.10
  5. Step 5: Solve for x
    x = 210,182,419.10/14,553.10
  6. Step 6: Final answer
    x = 14,442.45

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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.