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Finding the Fourth Proportional to 19,594.32, 29,394.56 and 6,443.68

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Solution

The fourth proportional to 19,594.32, 29,394.56 and 6,443.68 is: 9,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.32 : 29,394.56 = 6,443.68 : x
  2. Step 2: Convert to fraction form
    19,594.32/29,394.56 = 6,443.68/x
  3. Step 3: Cross multiply
    19,594.32x = 29,394.56 × 6,443.68
  4. Step 4: Simplify right side
    19,594.32x = 189,409,138.38
  5. Step 5: Solve for x
    x = 189,409,138.38/19,594.32
  6. Step 6: Final answer
    x = 9,666.53

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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.