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Finding the Fourth Proportional to 12,140.96, 16,753.04 and 7,036.45

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Solution

The fourth proportional to 12,140.96, 16,753.04 and 7,036.45 is: 9,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.96 : 16,753.04 = 7,036.45 : x
  2. Step 2: Convert to fraction form
    12,140.96/16,753.04 = 7,036.45/x
  3. Step 3: Cross multiply
    12,140.96x = 16,753.04 × 7,036.45
  4. Step 4: Simplify right side
    12,140.96x = 117,881,846.22
  5. Step 5: Solve for x
    x = 117,881,846.22/12,140.96
  6. Step 6: Final answer
    x = 9,709.43

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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.