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Finding the Fourth Proportional to 22,308.67, 30,777.47 and 14,242.62

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Solution

The fourth proportional to 22,308.67, 30,777.47 and 14,242.62 is: 19,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.67 : 30,777.47 = 14,242.62 : x
  2. Step 2: Convert to fraction form
    22,308.67/30,777.47 = 14,242.62/x
  3. Step 3: Cross multiply
    22,308.67x = 30,777.47 × 14,242.62
  4. Step 4: Simplify right side
    22,308.67x = 438,351,864.10
  5. Step 5: Solve for x
    x = 438,351,864.10/22,308.67
  6. Step 6: Final answer
    x = 19,649.40

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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.