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Finding the Fourth Proportional to 10,253.79, 14,057.95 and 10,066.96

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Solution

The fourth proportional to 10,253.79, 14,057.95 and 10,066.96 is: 13,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.79 : 14,057.95 = 10,066.96 : x
  2. Step 2: Convert to fraction form
    10,253.79/14,057.95 = 10,066.96/x
  3. Step 3: Cross multiply
    10,253.79x = 14,057.95 × 10,066.96
  4. Step 4: Simplify right side
    10,253.79x = 141,520,820.33
  5. Step 5: Solve for x
    x = 141,520,820.33/10,253.79
  6. Step 6: Final answer
    x = 13,801.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.