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Finding the Fourth Proportional to 13,020.51, 19,488.15 and 7,082.57

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Solution

The fourth proportional to 13,020.51, 19,488.15 and 7,082.57 is: 10,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.51 : 19,488.15 = 7,082.57 : x
  2. Step 2: Convert to fraction form
    13,020.51/19,488.15 = 7,082.57/x
  3. Step 3: Cross multiply
    13,020.51x = 19,488.15 × 7,082.57
  4. Step 4: Simplify right side
    13,020.51x = 138,026,089.10
  5. Step 5: Solve for x
    x = 138,026,089.10/13,020.51
  6. Step 6: Final answer
    x = 10,600.67

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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.