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Finding the Fourth Proportional to 12,059.09, 16,642.06 and 7,022.50

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Solution

The fourth proportional to 12,059.09, 16,642.06 and 7,022.50 is: 9,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.09 : 16,642.06 = 7,022.50 : x
  2. Step 2: Convert to fraction form
    12,059.09/16,642.06 = 7,022.50/x
  3. Step 3: Cross multiply
    12,059.09x = 16,642.06 × 7,022.50
  4. Step 4: Simplify right side
    12,059.09x = 116,868,748.03
  5. Step 5: Solve for x
    x = 116,868,748.03/12,059.09
  6. Step 6: Final answer
    x = 9,691.34

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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.