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Finding the Fourth Proportional to 14,635.34, 20,199.75 and 9,921.14

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Solution

The fourth proportional to 14,635.34, 20,199.75 and 9,921.14 is: 13,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635.34 : 20,199.75 = 9,921.14 : x
  2. Step 2: Convert to fraction form
    14,635.34/20,199.75 = 9,921.14/x
  3. Step 3: Cross multiply
    14,635.34x = 20,199.75 × 9,921.14
  4. Step 4: Simplify right side
    14,635.34x = 200,404,547.72
  5. Step 5: Solve for x
    x = 200,404,547.72/14,635.34
  6. Step 6: Final answer
    x = 13,693.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.