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Finding the Fourth Proportional to 13,082.70, 19,623.96 and 4,318.32

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Solution

The fourth proportional to 13,082.70, 19,623.96 and 4,318.32 is: 6,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.70 : 19,623.96 = 4,318.32 : x
  2. Step 2: Convert to fraction form
    13,082.70/19,623.96 = 4,318.32/x
  3. Step 3: Cross multiply
    13,082.70x = 19,623.96 × 4,318.32
  4. Step 4: Simplify right side
    13,082.70x = 84,742,538.95
  5. Step 5: Solve for x
    x = 84,742,538.95/13,082.70
  6. Step 6: Final answer
    x = 6,477.45

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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.