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Finding the Fourth Proportional to 13,023.62, 19,510.95 and 6,442.10

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Solution

The fourth proportional to 13,023.62, 19,510.95 and 6,442.10 is: 9,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.62 : 19,510.95 = 6,442.10 : x
  2. Step 2: Convert to fraction form
    13,023.62/19,510.95 = 6,442.10/x
  3. Step 3: Cross multiply
    13,023.62x = 19,510.95 × 6,442.10
  4. Step 4: Simplify right side
    13,023.62x = 125,691,491.00
  5. Step 5: Solve for x
    x = 125,691,491.00/13,023.62
  6. Step 6: Final answer
    x = 9,651.04

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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.