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Finding the Fourth Proportional to 22,958.76, 34,405.28 and 13,077.63

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Solution

The fourth proportional to 22,958.76, 34,405.28 and 13,077.63 is: 19,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.76 : 34,405.28 = 13,077.63 : x
  2. Step 2: Convert to fraction form
    22,958.76/34,405.28 = 13,077.63/x
  3. Step 3: Cross multiply
    22,958.76x = 34,405.28 × 13,077.63
  4. Step 4: Simplify right side
    22,958.76x = 449,939,456.50
  5. Step 5: Solve for x
    x = 449,939,456.50/22,958.76
  6. Step 6: Final answer
    x = 19,597.72

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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.