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Finding the Fourth Proportional to 12,082.16, 16,681.06 and 9,849.30

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Solution

The fourth proportional to 12,082.16, 16,681.06 and 9,849.30 is: 13,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.16 : 16,681.06 = 9,849.30 : x
  2. Step 2: Convert to fraction form
    12,082.16/16,681.06 = 9,849.30/x
  3. Step 3: Cross multiply
    12,082.16x = 16,681.06 × 9,849.30
  4. Step 4: Simplify right side
    12,082.16x = 164,296,764.26
  5. Step 5: Solve for x
    x = 164,296,764.26/12,082.16
  6. Step 6: Final answer
    x = 13,598.29

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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.