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Finding the Fourth Proportional to 19,082.10, 28,633 and 13,570.86

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Solution

The fourth proportional to 19,082.10, 28,633 and 13,570.86 is: 20,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082.10 : 28,633 = 13,570.86 : x
  2. Step 2: Convert to fraction form
    19,082.10/28,633 = 13,570.86/x
  3. Step 3: Cross multiply
    19,082.10x = 28,633 × 13,570.86
  4. Step 4: Simplify right side
    19,082.10x = 388,574,434.38
  5. Step 5: Solve for x
    x = 388,574,434.38/19,082.10
  6. Step 6: Final answer
    x = 20,363.30

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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.