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Finding the Fourth Proportional to 16,410.50, 22,646.50 and 10,126.52

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Solution

The fourth proportional to 16,410.50, 22,646.50 and 10,126.52 is: 13,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.50 : 22,646.50 = 10,126.52 : x
  2. Step 2: Convert to fraction form
    16,410.50/22,646.50 = 10,126.52/x
  3. Step 3: Cross multiply
    16,410.50x = 22,646.50 × 10,126.52
  4. Step 4: Simplify right side
    16,410.50x = 229,330,235.18
  5. Step 5: Solve for x
    x = 229,330,235.18/16,410.50
  6. Step 6: Final answer
    x = 13,974.60

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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.