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Finding the Fourth Proportional to 14,229.67, 19,637.22 and 8,259.16

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Solution

The fourth proportional to 14,229.67, 19,637.22 and 8,259.16 is: 11,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.67 : 19,637.22 = 8,259.16 : x
  2. Step 2: Convert to fraction form
    14,229.67/19,637.22 = 8,259.16/x
  3. Step 3: Cross multiply
    14,229.67x = 19,637.22 × 8,259.16
  4. Step 4: Simplify right side
    14,229.67x = 162,186,900.64
  5. Step 5: Solve for x
    x = 162,186,900.64/14,229.67
  6. Step 6: Final answer
    x = 11,397.80

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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.