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Finding the Fourth Proportional to 13,309.84, 19,965.72 and 4,082.32

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Solution

The fourth proportional to 13,309.84, 19,965.72 and 4,082.32 is: 6,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.84 : 19,965.72 = 4,082.32 : x
  2. Step 2: Convert to fraction form
    13,309.84/19,965.72 = 4,082.32/x
  3. Step 3: Cross multiply
    13,309.84x = 19,965.72 × 4,082.32
  4. Step 4: Simplify right side
    13,309.84x = 81,506,458.07
  5. Step 5: Solve for x
    x = 81,506,458.07/13,309.84
  6. Step 6: Final answer
    x = 6,123.77

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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.