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Finding the Fourth Proportional to 16,276.10, 22,460.72 and 9,202.53

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Solution

The fourth proportional to 16,276.10, 22,460.72 and 9,202.53 is: 12,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.10 : 22,460.72 = 9,202.53 : x
  2. Step 2: Convert to fraction form
    16,276.10/22,460.72 = 9,202.53/x
  3. Step 3: Cross multiply
    16,276.10x = 22,460.72 × 9,202.53
  4. Step 4: Simplify right side
    16,276.10x = 206,695,472.63
  5. Step 5: Solve for x
    x = 206,695,472.63/16,276.10
  6. Step 6: Final answer
    x = 12,699.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.