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Finding the Fourth Proportional to 13,442.73, 20,164.68 and 4,678.32

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Solution

The fourth proportional to 13,442.73, 20,164.68 and 4,678.32 is: 7,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.73 : 20,164.68 = 4,678.32 : x
  2. Step 2: Convert to fraction form
    13,442.73/20,164.68 = 4,678.32/x
  3. Step 3: Cross multiply
    13,442.73x = 20,164.68 × 4,678.32
  4. Step 4: Simplify right side
    13,442.73x = 94,336,825.74
  5. Step 5: Solve for x
    x = 94,336,825.74/13,442.73
  6. Step 6: Final answer
    x = 7,017.68

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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.