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Finding the Fourth Proportional to 13,442.95, 20,152.68 and 6,419.44

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Solution

The fourth proportional to 13,442.95, 20,152.68 and 6,419.44 is: 9,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.95 : 20,152.68 = 6,419.44 : x
  2. Step 2: Convert to fraction form
    13,442.95/20,152.68 = 6,419.44/x
  3. Step 3: Cross multiply
    13,442.95x = 20,152.68 × 6,419.44
  4. Step 4: Simplify right side
    13,442.95x = 129,368,920.10
  5. Step 5: Solve for x
    x = 129,368,920.10/13,442.95
  6. Step 6: Final answer
    x = 9,623.55

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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.