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Finding the Fourth Proportional to 29,427.84, 44,162.24 and 13,002.88

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Solution

The fourth proportional to 29,427.84, 44,162.24 and 13,002.88 is: 19,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,427.84 : 44,162.24 = 13,002.88 : x
  2. Step 2: Convert to fraction form
    29,427.84/44,162.24 = 13,002.88/x
  3. Step 3: Cross multiply
    29,427.84x = 44,162.24 × 13,002.88
  4. Step 4: Simplify right side
    29,427.84x = 574,236,307.25
  5. Step 5: Solve for x
    x = 574,236,307.25/29,427.84
  6. Step 6: Final answer
    x = 19,513.37

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