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Finding the Fourth Proportional to 24,644.34, 34,000.65 and 14,031.27

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Solution

The fourth proportional to 24,644.34, 34,000.65 and 14,031.27 is: 19,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.34 : 34,000.65 = 14,031.27 : x
  2. Step 2: Convert to fraction form
    24,644.34/34,000.65 = 14,031.27/x
  3. Step 3: Cross multiply
    24,644.34x = 34,000.65 × 14,031.27
  4. Step 4: Simplify right side
    24,644.34x = 477,072,300.33
  5. Step 5: Solve for x
    x = 477,072,300.33/24,644.34
  6. Step 6: Final answer
    x = 19,358.29

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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.