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Finding the Fourth Proportional to 12,950.40, 19,425.60 and 9,082.08

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Solution

The fourth proportional to 12,950.40, 19,425.60 and 9,082.08 is: 13,623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.40 : 19,425.60 = 9,082.08 : x
  2. Step 2: Convert to fraction form
    12,950.40/19,425.60 = 9,082.08/x
  3. Step 3: Cross multiply
    12,950.40x = 19,425.60 × 9,082.08
  4. Step 4: Simplify right side
    12,950.40x = 176,424,853.25
  5. Step 5: Solve for x
    x = 176,424,853.25/12,950.40
  6. Step 6: Final answer
    x = 13,623.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.