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Finding the Fourth Proportional to 22,774.41, 34,090.43 and 14,463.81

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Solution

The fourth proportional to 22,774.41, 34,090.43 and 14,463.81 is: 21,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.41 : 34,090.43 = 14,463.81 : x
  2. Step 2: Convert to fraction form
    22,774.41/34,090.43 = 14,463.81/x
  3. Step 3: Cross multiply
    22,774.41x = 34,090.43 × 14,463.81
  4. Step 4: Simplify right side
    22,774.41x = 493,077,430.02
  5. Step 5: Solve for x
    x = 493,077,430.02/22,774.41
  6. Step 6: Final answer
    x = 21,650.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.