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Finding the Fourth Proportional to 21,345.90, 32,035.14 and 9,667.32

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Solution

The fourth proportional to 21,345.90, 32,035.14 and 9,667.32 is: 14,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345.90 : 32,035.14 = 9,667.32 : x
  2. Step 2: Convert to fraction form
    21,345.90/32,035.14 = 9,667.32/x
  3. Step 3: Cross multiply
    21,345.90x = 32,035.14 × 9,667.32
  4. Step 4: Simplify right side
    21,345.90x = 309,693,949.62
  5. Step 5: Solve for x
    x = 309,693,949.62/21,345.90
  6. Step 6: Final answer
    x = 14,508.36

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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.