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Finding the Fourth Proportional to 24,955, 34,437.93 and 13,777

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Solution

The fourth proportional to 24,955, 34,437.93 and 13,777 is: 19,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955 : 34,437.93 = 13,777 : x
  2. Step 2: Convert to fraction form
    24,955/34,437.93 = 13,777/x
  3. Step 3: Cross multiply
    24,955x = 34,437.93 × 13,777
  4. Step 4: Simplify right side
    24,955x = 474,451,361.61
  5. Step 5: Solve for x
    x = 474,451,361.61/24,955
  6. Step 6: Final answer
    x = 19,012.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.