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Finding the Fourth Proportional to 14,381.96, 21,568.98 and 9,109.06

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Solution

The fourth proportional to 14,381.96, 21,568.98 and 9,109.06 is: 13,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.96 : 21,568.98 = 9,109.06 : x
  2. Step 2: Convert to fraction form
    14,381.96/21,568.98 = 9,109.06/x
  3. Step 3: Cross multiply
    14,381.96x = 21,568.98 × 9,109.06
  4. Step 4: Simplify right side
    14,381.96x = 196,473,132.96
  5. Step 5: Solve for x
    x = 196,473,132.96/14,381.96
  6. Step 6: Final answer
    x = 13,661.08

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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.