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Finding the Fourth Proportional to 12,066.25, 16,653.72 and 7,031.56

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Solution

The fourth proportional to 12,066.25, 16,653.72 and 7,031.56 is: 9,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.25 : 16,653.72 = 7,031.56 : x
  2. Step 2: Convert to fraction form
    12,066.25/16,653.72 = 7,031.56/x
  3. Step 3: Cross multiply
    12,066.25x = 16,653.72 × 7,031.56
  4. Step 4: Simplify right side
    12,066.25x = 117,101,631.40
  5. Step 5: Solve for x
    x = 117,101,631.40/12,066.25
  6. Step 6: Final answer
    x = 9,704.89

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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.